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Finding the Fourth Proportional to 406,476.60, 609,714.90 and 126,022.20

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Solution

The fourth proportional to 406,476.60, 609,714.90 and 126,022.20 is: 189,033.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,476.60 : 609,714.90 = 126,022.20 : x
  2. Step 2: Convert to fraction form
    406,476.60/609,714.90 = 126,022.20/x
  3. Step 3: Cross multiply
    406,476.60x = 609,714.90 × 126,022.20
  4. Step 4: Simplify right side
    406,476.60x = 76,837,613,070.78
  5. Step 5: Solve for x
    x = 76,837,613,070.78/406,476.60
  6. Step 6: Final answer
    x = 189,033.30

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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.