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Finding the Fourth Proportional to 277,491, 416,302.11 and 90,502.50

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Solution

The fourth proportional to 277,491, 416,302.11 and 90,502.50 is: 135,775.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,491 : 416,302.11 = 90,502.50 : x
  2. Step 2: Convert to fraction form
    277,491/416,302.11 = 90,502.50/x
  3. Step 3: Cross multiply
    277,491x = 416,302.11 × 90,502.50
  4. Step 4: Simplify right side
    277,491x = 37,676,381,710.28
  5. Step 5: Solve for x
    x = 37,676,381,710.28/277,491
  6. Step 6: Final answer
    x = 135,775.15

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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.