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Finding the Fourth Proportional to 305,055.94, 457,593.54 and 105,387.70

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Solution

The fourth proportional to 305,055.94, 457,593.54 and 105,387.70 is: 158,084.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,055.94 : 457,593.54 = 105,387.70 : x
  2. Step 2: Convert to fraction form
    305,055.94/457,593.54 = 105,387.70/x
  3. Step 3: Cross multiply
    305,055.94x = 457,593.54 × 105,387.70
  4. Step 4: Simplify right side
    305,055.94x = 48,224,730,715.46
  5. Step 5: Solve for x
    x = 48,224,730,715.46/305,055.94
  6. Step 6: Final answer
    x = 158,084.88

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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.