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Finding the Fourth Proportional to 492,912.48, 680,393.52 and 291,708

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Solution

The fourth proportional to 492,912.48, 680,393.52 and 291,708 is: 402,660.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,912.48 : 680,393.52 = 291,708 : x
  2. Step 2: Convert to fraction form
    492,912.48/680,393.52 = 291,708/x
  3. Step 3: Cross multiply
    492,912.48x = 680,393.52 × 291,708
  4. Step 4: Simplify right side
    492,912.48x = 198,476,232,932.16
  5. Step 5: Solve for x
    x = 198,476,232,932.16/492,912.48
  6. Step 6: Final answer
    x = 402,660.19

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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.