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Finding the Fourth Proportional to 565,930, 781,094.32 and 324,374.48

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Solution

The fourth proportional to 565,930, 781,094.32 and 324,374.48 is: 447,700.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,930 : 781,094.32 = 324,374.48 : x
  2. Step 2: Convert to fraction form
    565,930/781,094.32 = 324,374.48/x
  3. Step 3: Cross multiply
    565,930x = 781,094.32 × 324,374.48
  4. Step 4: Simplify right side
    565,930x = 253,367,063,880.95
  5. Step 5: Solve for x
    x = 253,367,063,880.95/565,930
  6. Step 6: Final answer
    x = 447,700.36

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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.