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Finding the Fourth Proportional to 257,807.49, 355,817.09 and 150,377.54

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Solution

The fourth proportional to 257,807.49, 355,817.09 and 150,377.54 is: 207,545.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,807.49 : 355,817.09 = 150,377.54 : x
  2. Step 2: Convert to fraction form
    257,807.49/355,817.09 = 150,377.54/x
  3. Step 3: Cross multiply
    257,807.49x = 355,817.09 × 150,377.54
  4. Step 4: Simplify right side
    257,807.49x = 53,506,898,436.61
  5. Step 5: Solve for x
    x = 53,506,898,436.61/257,807.49
  6. Step 6: Final answer
    x = 207,545.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.