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Finding the Fourth Proportional to 257,821.38, 386,639.40 and 89,296.32

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Solution

The fourth proportional to 257,821.38, 386,639.40 and 89,296.32 is: 133,912.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,821.38 : 386,639.40 = 89,296.32 : x
  2. Step 2: Convert to fraction form
    257,821.38/386,639.40 = 89,296.32/x
  3. Step 3: Cross multiply
    257,821.38x = 386,639.40 × 89,296.32
  4. Step 4: Simplify right side
    257,821.38x = 34,525,475,587.01
  5. Step 5: Solve for x
    x = 34,525,475,587.01/257,821.38
  6. Step 6: Final answer
    x = 133,912.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.