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Finding the Fourth Proportional to 520,715.26, 781,167.66 and 236,410.12

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Solution

The fourth proportional to 520,715.26, 781,167.66 and 236,410.12 is: 354,658.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,715.26 : 781,167.66 = 236,410.12 : x
  2. Step 2: Convert to fraction form
    520,715.26/781,167.66 = 236,410.12/x
  3. Step 3: Cross multiply
    520,715.26x = 781,167.66 × 236,410.12
  4. Step 4: Simplify right side
    520,715.26x = 184,675,940,240.72
  5. Step 5: Solve for x
    x = 184,675,940,240.72/520,715.26
  6. Step 6: Final answer
    x = 354,658.21

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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.