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Finding the Fourth Proportional to 498,182.64, 687,507.18 and 283,353.60

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Solution

The fourth proportional to 498,182.64, 687,507.18 and 283,353.60 is: 391,036.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,182.64 : 687,507.18 = 283,353.60 : x
  2. Step 2: Convert to fraction form
    498,182.64/687,507.18 = 283,353.60/x
  3. Step 3: Cross multiply
    498,182.64x = 687,507.18 × 283,353.60
  4. Step 4: Simplify right side
    498,182.64x = 194,807,634,478.85
  5. Step 5: Solve for x
    x = 194,807,634,478.85/498,182.64
  6. Step 6: Final answer
    x = 391,036.58

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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.