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Finding the Fourth Proportional to 437,005.14, 655,507.72 and 156,719.22

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Solution

The fourth proportional to 437,005.14, 655,507.72 and 156,719.22 is: 235,078.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,005.14 : 655,507.72 = 156,719.22 : x
  2. Step 2: Convert to fraction form
    437,005.14/655,507.72 = 156,719.22/x
  3. Step 3: Cross multiply
    437,005.14x = 655,507.72 × 156,719.22
  4. Step 4: Simplify right side
    437,005.14x = 102,730,658,582.38
  5. Step 5: Solve for x
    x = 102,730,658,582.38/437,005.14
  6. Step 6: Final answer
    x = 235,078.83

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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.