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Finding the Fourth Proportional to 274,472.08, 411,650.40 and 77,434

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Solution

The fourth proportional to 274,472.08, 411,650.40 and 77,434 is: 116,134.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,472.08 : 411,650.40 = 77,434 : x
  2. Step 2: Convert to fraction form
    274,472.08/411,650.40 = 77,434/x
  3. Step 3: Cross multiply
    274,472.08x = 411,650.40 × 77,434
  4. Step 4: Simplify right side
    274,472.08x = 31,875,737,073.60
  5. Step 5: Solve for x
    x = 31,875,737,073.60/274,472.08
  6. Step 6: Final answer
    x = 116,134.72

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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.