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Finding the Fourth Proportional to 520,137.72, 779,985.05 and 204,373.13

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Solution

The fourth proportional to 520,137.72, 779,985.05 and 204,373.13 is: 306,472.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,137.72 : 779,985.05 = 204,373.13 : x
  2. Step 2: Convert to fraction form
    520,137.72/779,985.05 = 204,373.13/x
  3. Step 3: Cross multiply
    520,137.72x = 779,985.05 × 204,373.13
  4. Step 4: Simplify right side
    520,137.72x = 159,407,981,099.92
  5. Step 5: Solve for x
    x = 159,407,981,099.92/520,137.72
  6. Step 6: Final answer
    x = 306,472.64

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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.