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Finding the Fourth Proportional to 520,658.58, 780,096.32 and 284,167.20

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Solution

The fourth proportional to 520,658.58, 780,096.32 and 284,167.20 is: 425,764.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,658.58 : 780,096.32 = 284,167.20 : x
  2. Step 2: Convert to fraction form
    520,658.58/780,096.32 = 284,167.20/x
  3. Step 3: Cross multiply
    520,658.58x = 780,096.32 × 284,167.20
  4. Step 4: Simplify right side
    520,658.58x = 221,677,786,984.70
  5. Step 5: Solve for x
    x = 221,677,786,984.70/520,658.58
  6. Step 6: Final answer
    x = 425,764.21

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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.