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Finding the Fourth Proportional to 509,121, 702,586.98 and 282,787.56

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Solution

The fourth proportional to 509,121, 702,586.98 and 282,787.56 is: 390,246.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,121 : 702,586.98 = 282,787.56 : x
  2. Step 2: Convert to fraction form
    509,121/702,586.98 = 282,787.56/x
  3. Step 3: Cross multiply
    509,121x = 702,586.98 × 282,787.56
  4. Step 4: Simplify right side
    509,121x = 198,682,857,761.97
  5. Step 5: Solve for x
    x = 198,682,857,761.97/509,121
  6. Step 6: Final answer
    x = 390,246.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.