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Finding the Fourth Proportional to 305,032.32, 457,392.48 and 127,490.88

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Solution

The fourth proportional to 305,032.32, 457,392.48 and 127,490.88 is: 191,171.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,032.32 : 457,392.48 = 127,490.88 : x
  2. Step 2: Convert to fraction form
    305,032.32/457,392.48 = 127,490.88/x
  3. Step 3: Cross multiply
    305,032.32x = 457,392.48 × 127,490.88
  4. Step 4: Simplify right side
    305,032.32x = 58,313,369,780.58
  5. Step 5: Solve for x
    x = 58,313,369,780.58/305,032.32
  6. Step 6: Final answer
    x = 191,171.12

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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.