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Finding the Fourth Proportional to 565,000.98, 847,502.85 and 138,538.68

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Solution

The fourth proportional to 565,000.98, 847,502.85 and 138,538.68 is: 207,808.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,000.98 : 847,502.85 = 138,538.68 : x
  2. Step 2: Convert to fraction form
    565,000.98/847,502.85 = 138,538.68/x
  3. Step 3: Cross multiply
    565,000.98x = 847,502.85 × 138,538.68
  4. Step 4: Simplify right side
    565,000.98x = 117,411,926,135.24
  5. Step 5: Solve for x
    x = 117,411,926,135.24/565,000.98
  6. Step 6: Final answer
    x = 207,808.36

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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.