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Finding the Fourth Proportional to 284,704.29, 392,891.88 and 155,643.30

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Solution

The fourth proportional to 284,704.29, 392,891.88 and 155,643.30 is: 214,787.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,704.29 : 392,891.88 = 155,643.30 : x
  2. Step 2: Convert to fraction form
    284,704.29/392,891.88 = 155,643.30/x
  3. Step 3: Cross multiply
    284,704.29x = 392,891.88 × 155,643.30
  4. Step 4: Simplify right side
    284,704.29x = 61,150,988,746.40
  5. Step 5: Solve for x
    x = 61,150,988,746.40/284,704.29
  6. Step 6: Final answer
    x = 214,787.73

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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.