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Finding the Fourth Proportional to 437,184.55, 655,800.25 and 137,688.47

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Solution

The fourth proportional to 437,184.55, 655,800.25 and 137,688.47 is: 206,540.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,184.55 : 655,800.25 = 137,688.47 : x
  2. Step 2: Convert to fraction form
    437,184.55/655,800.25 = 137,688.47/x
  3. Step 3: Cross multiply
    437,184.55x = 655,800.25 × 137,688.47
  4. Step 4: Simplify right side
    437,184.55x = 90,296,129,424.90
  5. Step 5: Solve for x
    x = 90,296,129,424.90/437,184.55
  6. Step 6: Final answer
    x = 206,540.08

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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.