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Finding the Fourth Proportional to 284,222.32, 392,226.87 and 156,898

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Solution

The fourth proportional to 284,222.32, 392,226.87 and 156,898 is: 216,519.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,222.32 : 392,226.87 = 156,898 : x
  2. Step 2: Convert to fraction form
    284,222.32/392,226.87 = 156,898/x
  3. Step 3: Cross multiply
    284,222.32x = 392,226.87 × 156,898
  4. Step 4: Simplify right side
    284,222.32x = 61,539,611,449.26
  5. Step 5: Solve for x
    x = 61,539,611,449.26/284,222.32
  6. Step 6: Final answer
    x = 216,519.28

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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.