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Finding the Fourth Proportional to 277,061.46, 415,490.13 and 99,520.80

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Solution

The fourth proportional to 277,061.46, 415,490.13 and 99,520.80 is: 149,244.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,061.46 : 415,490.13 = 99,520.80 : x
  2. Step 2: Convert to fraction form
    277,061.46/415,490.13 = 99,520.80/x
  3. Step 3: Cross multiply
    277,061.46x = 415,490.13 × 99,520.80
  4. Step 4: Simplify right side
    277,061.46x = 41,349,910,129.70
  5. Step 5: Solve for x
    x = 41,349,910,129.70/277,061.46
  6. Step 6: Final answer
    x = 149,244.54

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1.5x scale

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.