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Finding the Fourth Proportional to 385,812.12, 532,605.24 and 256,964.88

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Solution

The fourth proportional to 385,812.12, 532,605.24 and 256,964.88 is: 354,734.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,812.12 : 532,605.24 = 256,964.88 : x
  2. Step 2: Convert to fraction form
    385,812.12/532,605.24 = 256,964.88/x
  3. Step 3: Cross multiply
    385,812.12x = 532,605.24 × 256,964.88
  4. Step 4: Simplify right side
    385,812.12x = 136,860,841,583.97
  5. Step 5: Solve for x
    x = 136,860,841,583.97/385,812.12
  6. Step 6: Final answer
    x = 354,734.43

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1.5x scale

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.