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Finding the Fourth Proportional to 268,804.87, 402,542.08 and 156,143.38

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Solution

The fourth proportional to 268,804.87, 402,542.08 and 156,143.38 is: 233,828.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,804.87 : 402,542.08 = 156,143.38 : x
  2. Step 2: Convert to fraction form
    268,804.87/402,542.08 = 156,143.38/x
  3. Step 3: Cross multiply
    268,804.87x = 402,542.08 × 156,143.38
  4. Step 4: Simplify right side
    268,804.87x = 62,854,280,963.43
  5. Step 5: Solve for x
    x = 62,854,280,963.43/268,804.87
  6. Step 6: Final answer
    x = 233,828.65

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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.