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Finding the Fourth Proportional to 284,213.44, 392,217.28 and 156,886.30

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Solution

The fourth proportional to 284,213.44, 392,217.28 and 156,886.30 is: 216,504.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,213.44 : 392,217.28 = 156,886.30 : x
  2. Step 2: Convert to fraction form
    284,213.44/392,217.28 = 156,886.30/x
  3. Step 3: Cross multiply
    284,213.44x = 392,217.28 × 156,886.30
  4. Step 4: Simplify right side
    284,213.44x = 61,533,517,855.26
  5. Step 5: Solve for x
    x = 61,533,517,855.26/284,213.44
  6. Step 6: Final answer
    x = 216,504.60

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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.