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Finding the Fourth Proportional to 284,737.93, 392,918.61 and 157,403.50

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Solution

The fourth proportional to 284,737.93, 392,918.61 and 157,403.50 is: 217,205.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,737.93 : 392,918.61 = 157,403.50 : x
  2. Step 2: Convert to fraction form
    284,737.93/392,918.61 = 157,403.50/x
  3. Step 3: Cross multiply
    284,737.93x = 392,918.61 × 157,403.50
  4. Step 4: Simplify right side
    284,737.93x = 61,846,764,429.14
  5. Step 5: Solve for x
    x = 61,846,764,429.14/284,737.93
  6. Step 6: Final answer
    x = 217,205.92

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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.