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Finding the Fourth Proportional to 523,625.90, 784,920.45 and 257,168.30

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Solution

The fourth proportional to 523,625.90, 784,920.45 and 257,168.30 is: 385,497.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,625.90 : 784,920.45 = 257,168.30 : x
  2. Step 2: Convert to fraction form
    523,625.90/784,920.45 = 257,168.30/x
  3. Step 3: Cross multiply
    523,625.90x = 784,920.45 × 257,168.30
  4. Step 4: Simplify right side
    523,625.90x = 201,856,657,761.74
  5. Step 5: Solve for x
    x = 201,856,657,761.74/523,625.90
  6. Step 6: Final answer
    x = 385,497.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.