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Finding the Fourth Proportional to 406,007.28, 609,051.84 and 139,732.80

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Solution

The fourth proportional to 406,007.28, 609,051.84 and 139,732.80 is: 209,613.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,007.28 : 609,051.84 = 139,732.80 : x
  2. Step 2: Convert to fraction form
    406,007.28/609,051.84 = 139,732.80/x
  3. Step 3: Cross multiply
    406,007.28x = 609,051.84 × 139,732.80
  4. Step 4: Simplify right side
    406,007.28x = 85,104,518,948.35
  5. Step 5: Solve for x
    x = 85,104,518,948.35/406,007.28
  6. Step 6: Final answer
    x = 209,613.28

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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.