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Finding the Fourth Proportional to 397,643.92, 596,391.79 and 127,776.74

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Solution

The fourth proportional to 397,643.92, 596,391.79 and 127,776.74 is: 191,641.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,643.92 : 596,391.79 = 127,776.74 : x
  2. Step 2: Convert to fraction form
    397,643.92/596,391.79 = 127,776.74/x
  3. Step 3: Cross multiply
    397,643.92x = 596,391.79 × 127,776.74
  4. Step 4: Simplify right side
    397,643.92x = 76,204,996,292.77
  5. Step 5: Solve for x
    x = 76,204,996,292.77/397,643.92
  6. Step 6: Final answer
    x = 191,641.30

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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.