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Finding the Fourth Proportional to 521,658.24, 782,520.72 and 147,710.40

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Solution

The fourth proportional to 521,658.24, 782,520.72 and 147,710.40 is: 221,575.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,658.24 : 782,520.72 = 147,710.40 : x
  2. Step 2: Convert to fraction form
    521,658.24/782,520.72 = 147,710.40/x
  3. Step 3: Cross multiply
    521,658.24x = 782,520.72 × 147,710.40
  4. Step 4: Simplify right side
    521,658.24x = 115,586,448,559.49
  5. Step 5: Solve for x
    x = 115,586,448,559.49/521,658.24
  6. Step 6: Final answer
    x = 221,575.05

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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.