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Finding the Fourth Proportional to 305,005.72, 457,304.28 and 117,798.52

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Solution

The fourth proportional to 305,005.72, 457,304.28 and 117,798.52 is: 176,618.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,005.72 : 457,304.28 = 117,798.52 : x
  2. Step 2: Convert to fraction form
    305,005.72/457,304.28 = 117,798.52/x
  3. Step 3: Cross multiply
    305,005.72x = 457,304.28 × 117,798.52
  4. Step 4: Simplify right side
    305,005.72x = 53,869,767,373.67
  5. Step 5: Solve for x
    x = 53,869,767,373.67/305,005.72
  6. Step 6: Final answer
    x = 176,618.88

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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.