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Finding the Fourth Proportional to 406,909.40, 610,421.70 and 126,397.40

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Solution

The fourth proportional to 406,909.40, 610,421.70 and 126,397.40 is: 189,613.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,909.40 : 610,421.70 = 126,397.40 : x
  2. Step 2: Convert to fraction form
    406,909.40/610,421.70 = 126,397.40/x
  3. Step 3: Cross multiply
    406,909.40x = 610,421.70 × 126,397.40
  4. Step 4: Simplify right side
    406,909.40x = 77,155,715,783.58
  5. Step 5: Solve for x
    x = 77,155,715,783.58/406,909.40
  6. Step 6: Final answer
    x = 189,613.99

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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.