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Finding the Fourth Proportional to 532,715.78, 735,135.68 and 290,999.42

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Solution

The fourth proportional to 532,715.78, 735,135.68 and 290,999.42 is: 401,572.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,715.78 : 735,135.68 = 290,999.42 : x
  2. Step 2: Convert to fraction form
    532,715.78/735,135.68 = 290,999.42/x
  3. Step 3: Cross multiply
    532,715.78x = 735,135.68 × 290,999.42
  4. Step 4: Simplify right side
    532,715.78x = 213,924,056,501.31
  5. Step 5: Solve for x
    x = 213,924,056,501.31/532,715.78
  6. Step 6: Final answer
    x = 401,572.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.