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Finding the Fourth Proportional to 498,023.64, 687,920.85 and 402,889.14

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Solution

The fourth proportional to 498,023.64, 687,920.85 and 402,889.14 is: 556,511.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,023.64 : 687,920.85 = 402,889.14 : x
  2. Step 2: Convert to fraction form
    498,023.64/687,920.85 = 402,889.14/x
  3. Step 3: Cross multiply
    498,023.64x = 687,920.85 × 402,889.14
  4. Step 4: Simplify right side
    498,023.64x = 277,155,839,644.57
  5. Step 5: Solve for x
    x = 277,155,839,644.57/498,023.64
  6. Step 6: Final answer
    x = 556,511.41

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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.