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Finding the Fourth Proportional to 513,663.48, 770,473.08 and 134,575.85

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Solution

The fourth proportional to 513,663.48, 770,473.08 and 134,575.85 is: 201,857.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,663.48 : 770,473.08 = 134,575.85 : x
  2. Step 2: Convert to fraction form
    513,663.48/770,473.08 = 134,575.85/x
  3. Step 3: Cross multiply
    513,663.48x = 770,473.08 × 134,575.85
  4. Step 4: Simplify right side
    513,663.48x = 103,687,071,569.30
  5. Step 5: Solve for x
    x = 103,687,071,569.30/513,663.48
  6. Step 6: Final answer
    x = 201,857.98

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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.