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Finding the Fourth Proportional to 498,423.61, 687,840.15 and 283,594.60

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Solution

The fourth proportional to 498,423.61, 687,840.15 and 283,594.60 is: 391,369.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,423.61 : 687,840.15 = 283,594.60 : x
  2. Step 2: Convert to fraction form
    498,423.61/687,840.15 = 283,594.60/x
  3. Step 3: Cross multiply
    498,423.61x = 687,840.15 × 283,594.60
  4. Step 4: Simplify right side
    498,423.61x = 195,067,752,203.19
  5. Step 5: Solve for x
    x = 195,067,752,203.19/498,423.61
  6. Step 6: Final answer
    x = 391,369.41

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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.