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Finding the Fourth Proportional to 498,007.38, 687,252.36 and 271,657.74

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Solution

The fourth proportional to 498,007.38, 687,252.36 and 271,657.74 is: 374,888.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,007.38 : 687,252.36 = 271,657.74 : x
  2. Step 2: Convert to fraction form
    498,007.38/687,252.36 = 271,657.74/x
  3. Step 3: Cross multiply
    498,007.38x = 687,252.36 × 271,657.74
  4. Step 4: Simplify right side
    498,007.38x = 186,697,422,927.27
  5. Step 5: Solve for x
    x = 186,697,422,927.27/498,007.38
  6. Step 6: Final answer
    x = 374,888.87

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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.