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Finding the Fourth Proportional to 565,397.50, 780,227.12 and 323,702.54

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Solution

The fourth proportional to 565,397.50, 780,227.12 and 323,702.54 is: 446,697.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,397.50 : 780,227.12 = 323,702.54 : x
  2. Step 2: Convert to fraction form
    565,397.50/780,227.12 = 323,702.54/x
  3. Step 3: Cross multiply
    565,397.50x = 780,227.12 × 323,702.54
  4. Step 4: Simplify right side
    565,397.50x = 252,561,500,520.89
  5. Step 5: Solve for x
    x = 252,561,500,520.89/565,397.50
  6. Step 6: Final answer
    x = 446,697.24

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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.