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Finding the Fourth Proportional to 569,695.52, 786,178.68 and 327,890

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Solution

The fourth proportional to 569,695.52, 786,178.68 and 327,890 is: 452,487.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,695.52 : 786,178.68 = 327,890 : x
  2. Step 2: Convert to fraction form
    569,695.52/786,178.68 = 327,890/x
  3. Step 3: Cross multiply
    569,695.52x = 786,178.68 × 327,890
  4. Step 4: Simplify right side
    569,695.52x = 257,780,127,385.20
  5. Step 5: Solve for x
    x = 257,780,127,385.20/569,695.52
  6. Step 6: Final answer
    x = 452,487.55

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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.