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Finding the Fourth Proportional to 565,931, 781,095.70 and 324,375.48

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Solution

The fourth proportional to 565,931, 781,095.70 and 324,375.48 is: 447,701.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,931 : 781,095.70 = 324,375.48 : x
  2. Step 2: Convert to fraction form
    565,931/781,095.70 = 324,375.48/x
  3. Step 3: Cross multiply
    565,931x = 781,095.70 × 324,375.48
  4. Step 4: Simplify right side
    565,931x = 253,368,292,613.44
  5. Step 5: Solve for x
    x = 253,368,292,613.44/565,931
  6. Step 6: Final answer
    x = 447,701.74

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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.