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Finding the Fourth Proportional to 284,163.80, 392,145.26 and 156,838.52

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Solution

The fourth proportional to 284,163.80, 392,145.26 and 156,838.52 is: 216,436.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,163.80 : 392,145.26 = 156,838.52 : x
  2. Step 2: Convert to fraction form
    284,163.80/392,145.26 = 156,838.52/x
  3. Step 3: Cross multiply
    284,163.80x = 392,145.26 × 156,838.52
  4. Step 4: Simplify right side
    284,163.80x = 61,503,482,203.42
  5. Step 5: Solve for x
    x = 61,503,482,203.42/284,163.80
  6. Step 6: Final answer
    x = 216,436.72

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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.