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Finding the Fourth Proportional to 305,061.54, 456,996.68 and 144,909.57

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Solution

The fourth proportional to 305,061.54, 456,996.68 and 144,909.57 is: 217,081.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,061.54 : 456,996.68 = 144,909.57 : x
  2. Step 2: Convert to fraction form
    305,061.54/456,996.68 = 144,909.57/x
  3. Step 3: Cross multiply
    305,061.54x = 456,996.68 × 144,909.57
  4. Step 4: Simplify right side
    305,061.54x = 66,223,194,737.94
  5. Step 5: Solve for x
    x = 66,223,194,737.94/305,061.54
  6. Step 6: Final answer
    x = 217,081.43

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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.