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Finding the Fourth Proportional to 582,807.05, 873,989.10 and 278,889.24

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Solution

The fourth proportional to 582,807.05, 873,989.10 and 278,889.24 is: 418,227.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,807.05 : 873,989.10 = 278,889.24 : x
  2. Step 2: Convert to fraction form
    582,807.05/873,989.10 = 278,889.24/x
  3. Step 3: Cross multiply
    582,807.05x = 873,989.10 × 278,889.24
  4. Step 4: Simplify right side
    582,807.05x = 243,746,155,867.28
  5. Step 5: Solve for x
    x = 243,746,155,867.28/582,807.05
  6. Step 6: Final answer
    x = 418,227.88

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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.