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Finding the Fourth Proportional to 314,278.98, 471,180.87 and 156,618.78

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Solution

The fourth proportional to 314,278.98, 471,180.87 and 156,618.78 is: 234,809.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,278.98 : 471,180.87 = 156,618.78 : x
  2. Step 2: Convert to fraction form
    314,278.98/471,180.87 = 156,618.78/x
  3. Step 3: Cross multiply
    314,278.98x = 471,180.87 × 156,618.78
  4. Step 4: Simplify right side
    314,278.98x = 73,795,773,018.74
  5. Step 5: Solve for x
    x = 73,795,773,018.74/314,278.98
  6. Step 6: Final answer
    x = 234,809.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.