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Finding the Fourth Proportional to 406,352.64, 609,569.06 and 140,078.12

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Solution

The fourth proportional to 406,352.64, 609,569.06 and 140,078.12 is: 210,131.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,352.64 : 609,569.06 = 140,078.12 : x
  2. Step 2: Convert to fraction form
    406,352.64/609,569.06 = 140,078.12/x
  3. Step 3: Cross multiply
    406,352.64x = 609,569.06 × 140,078.12
  4. Step 4: Simplify right side
    406,352.64x = 85,387,287,934.97
  5. Step 5: Solve for x
    x = 85,387,287,934.97/406,352.64
  6. Step 6: Final answer
    x = 210,131.00

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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.