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Finding the Fourth Proportional to 642,641.60, 963,962.40 and 406,445.60

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Solution

The fourth proportional to 642,641.60, 963,962.40 and 406,445.60 is: 609,668.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,641.60 : 963,962.40 = 406,445.60 : x
  2. Step 2: Convert to fraction form
    642,641.60/963,962.40 = 406,445.60/x
  3. Step 3: Cross multiply
    642,641.60x = 963,962.40 × 406,445.60
  4. Step 4: Simplify right side
    642,641.60x = 391,798,276,045.44
  5. Step 5: Solve for x
    x = 391,798,276,045.44/642,641.60
  6. Step 6: Final answer
    x = 609,668.40

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.