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Finding the Fourth Proportional to 642,642.60, 963,963.90 and 406,446.60

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Solution

The fourth proportional to 642,642.60, 963,963.90 and 406,446.60 is: 609,669.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,642.60 : 963,963.90 = 406,446.60 : x
  2. Step 2: Convert to fraction form
    642,642.60/963,963.90 = 406,446.60/x
  3. Step 3: Cross multiply
    642,642.60x = 963,963.90 × 406,446.60
  4. Step 4: Simplify right side
    642,642.60x = 391,799,849,677.74
  5. Step 5: Solve for x
    x = 391,799,849,677.74/642,642.60
  6. Step 6: Final answer
    x = 609,669.90

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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.