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Finding the Fourth Proportional to 296,781.78, 409,700.85 and 169,432.74

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Solution

The fourth proportional to 296,781.78, 409,700.85 and 169,432.74 is: 233,898.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,781.78 : 409,700.85 = 169,432.74 : x
  2. Step 2: Convert to fraction form
    296,781.78/409,700.85 = 169,432.74/x
  3. Step 3: Cross multiply
    296,781.78x = 409,700.85 × 169,432.74
  4. Step 4: Simplify right side
    296,781.78x = 69,416,737,595.83
  5. Step 5: Solve for x
    x = 69,416,737,595.83/296,781.78
  6. Step 6: Final answer
    x = 233,898.25

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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.