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Finding the Fourth Proportional to 437,009.74, 654,970.11 and 156,218.38

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Solution

The fourth proportional to 437,009.74, 654,970.11 and 156,218.38 is: 234,132.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,009.74 : 654,970.11 = 156,218.38 : x
  2. Step 2: Convert to fraction form
    437,009.74/654,970.11 = 156,218.38/x
  3. Step 3: Cross multiply
    437,009.74x = 654,970.11 × 156,218.38
  4. Step 4: Simplify right side
    437,009.74x = 102,318,369,532.62
  5. Step 5: Solve for x
    x = 102,318,369,532.62/437,009.74
  6. Step 6: Final answer
    x = 234,132.93

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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.