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Finding the Fourth Proportional to 840,448, 1,159,915.36 and 467,948.40

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Solution

The fourth proportional to 840,448, 1,159,915.36 and 467,948.40 is: 645,822.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,448 : 1,159,915.36 = 467,948.40 : x
  2. Step 2: Convert to fraction form
    840,448/1,159,915.36 = 467,948.40/x
  3. Step 3: Cross multiply
    840,448x = 1,159,915.36 × 467,948.40
  4. Step 4: Simplify right side
    840,448x = 542,780,536,847.42
  5. Step 5: Solve for x
    x = 542,780,536,847.42/840,448
  6. Step 6: Final answer
    x = 645,822.87

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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.