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Finding the Fourth Proportional to 498,438.60, 687,860.10 and 283,538.76

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Solution

The fourth proportional to 498,438.60, 687,860.10 and 283,538.76 is: 391,291.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,438.60 : 687,860.10 = 283,538.76 : x
  2. Step 2: Convert to fraction form
    498,438.60/687,860.10 = 283,538.76/x
  3. Step 3: Cross multiply
    498,438.60x = 687,860.10 × 283,538.76
  4. Step 4: Simplify right side
    498,438.60x = 195,034,999,807.48
  5. Step 5: Solve for x
    x = 195,034,999,807.48/498,438.60
  6. Step 6: Final answer
    x = 391,291.93

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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.