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Finding the Fourth Proportional to 521,658.07, 782,777.84 and 281,767.13

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Solution

The fourth proportional to 521,658.07, 782,777.84 and 281,767.13 is: 422,807.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,658.07 : 782,777.84 = 281,767.13 : x
  2. Step 2: Convert to fraction form
    521,658.07/782,777.84 = 281,767.13/x
  3. Step 3: Cross multiply
    521,658.07x = 782,777.84 × 281,767.13
  4. Step 4: Simplify right side
    521,658.07x = 220,561,061,490.51
  5. Step 5: Solve for x
    x = 220,561,061,490.51/521,658.07
  6. Step 6: Final answer
    x = 422,807.73

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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.