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Finding the Fourth Proportional to 284,234.88, 392,233.80 and 156,907.74

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Solution

The fourth proportional to 284,234.88, 392,233.80 and 156,907.74 is: 216,526.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,234.88 : 392,233.80 = 156,907.74 : x
  2. Step 2: Convert to fraction form
    284,234.88/392,233.80 = 156,907.74/x
  3. Step 3: Cross multiply
    284,234.88x = 392,233.80 × 156,907.74
  4. Step 4: Simplify right side
    284,234.88x = 61,544,519,109.61
  5. Step 5: Solve for x
    x = 61,544,519,109.61/284,234.88
  6. Step 6: Final answer
    x = 216,526.98

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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.