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Finding the Fourth Proportional to 277,240.46, 415,875.80 and 87,686.66

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Solution

The fourth proportional to 277,240.46, 415,875.80 and 87,686.66 is: 131,534.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,240.46 : 415,875.80 = 87,686.66 : x
  2. Step 2: Convert to fraction form
    277,240.46/415,875.80 = 87,686.66/x
  3. Step 3: Cross multiply
    277,240.46x = 415,875.80 × 87,686.66
  4. Step 4: Simplify right side
    277,240.46x = 36,466,759,876.83
  5. Step 5: Solve for x
    x = 36,466,759,876.83/277,240.46
  6. Step 6: Final answer
    x = 131,534.77

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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.