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Finding the Fourth Proportional to 498,041.80, 687,330.16 and 283,201.85

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Solution

The fourth proportional to 498,041.80, 687,330.16 and 283,201.85 is: 390,837.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,041.80 : 687,330.16 = 283,201.85 : x
  2. Step 2: Convert to fraction form
    498,041.80/687,330.16 = 283,201.85/x
  3. Step 3: Cross multiply
    498,041.80x = 687,330.16 × 283,201.85
  4. Step 4: Simplify right side
    498,041.80x = 194,653,173,883.12
  5. Step 5: Solve for x
    x = 194,653,173,883.12/498,041.80
  6. Step 6: Final answer
    x = 390,837.02

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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.