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Finding the Fourth Proportional to 284,157.32, 392,136.29 and 156,832

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Solution

The fourth proportional to 284,157.32, 392,136.29 and 156,832 is: 216,427.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,157.32 : 392,136.29 = 156,832 : x
  2. Step 2: Convert to fraction form
    284,157.32/392,136.29 = 156,832/x
  3. Step 3: Cross multiply
    284,157.32x = 392,136.29 × 156,832
  4. Step 4: Simplify right side
    284,157.32x = 61,499,518,633.28
  5. Step 5: Solve for x
    x = 61,499,518,633.28/284,157.32
  6. Step 6: Final answer
    x = 216,427.71

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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.