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Finding the Fourth Proportional to 406,829.40, 610,244.10 and 280,858.20

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Solution

The fourth proportional to 406,829.40, 610,244.10 and 280,858.20 is: 421,287.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,829.40 : 610,244.10 = 280,858.20 : x
  2. Step 2: Convert to fraction form
    406,829.40/610,244.10 = 280,858.20/x
  3. Step 3: Cross multiply
    406,829.40x = 610,244.10 × 280,858.20
  4. Step 4: Simplify right side
    406,829.40x = 171,392,059,486.62
  5. Step 5: Solve for x
    x = 171,392,059,486.62/406,829.40
  6. Step 6: Final answer
    x = 421,287.30

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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.