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Finding the Fourth Proportional to 406,507.80, 609,761.70 and 126,053.40

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Solution

The fourth proportional to 406,507.80, 609,761.70 and 126,053.40 is: 189,080.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,507.80 : 609,761.70 = 126,053.40 : x
  2. Step 2: Convert to fraction form
    406,507.80/609,761.70 = 126,053.40/x
  3. Step 3: Cross multiply
    406,507.80x = 609,761.70 × 126,053.40
  4. Step 4: Simplify right side
    406,507.80x = 76,862,535,474.78
  5. Step 5: Solve for x
    x = 76,862,535,474.78/406,507.80
  6. Step 6: Final answer
    x = 189,080.10

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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.