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Finding the Fourth Proportional to 387,283.70, 580,750.59 and 137,972.18

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Solution

The fourth proportional to 387,283.70, 580,750.59 and 137,972.18 is: 206,895.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,283.70 : 580,750.59 = 137,972.18 : x
  2. Step 2: Convert to fraction form
    387,283.70/580,750.59 = 137,972.18/x
  3. Step 3: Cross multiply
    387,283.70x = 580,750.59 × 137,972.18
  4. Step 4: Simplify right side
    387,283.70x = 80,127,424,938.59
  5. Step 5: Solve for x
    x = 80,127,424,938.59/387,283.70
  6. Step 6: Final answer
    x = 206,895.94

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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.