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Finding the Fourth Proportional to 412,660.71, 618,938.01 and 159,767.82

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Solution

The fourth proportional to 412,660.71, 618,938.01 and 159,767.82 is: 239,631.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,660.71 : 618,938.01 = 159,767.82 : x
  2. Step 2: Convert to fraction form
    412,660.71/618,938.01 = 159,767.82/x
  3. Step 3: Cross multiply
    412,660.71x = 618,938.01 × 159,767.82
  4. Step 4: Simplify right side
    412,660.71x = 98,886,376,572.84
  5. Step 5: Solve for x
    x = 98,886,376,572.84/412,660.71
  6. Step 6: Final answer
    x = 239,631.19

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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.