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Finding the Fourth Proportional to 314,728.78, 471,757 and 179,501.70

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Solution

The fourth proportional to 314,728.78, 471,757 and 179,501.70 is: 269,060.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,728.78 : 471,757 = 179,501.70 : x
  2. Step 2: Convert to fraction form
    314,728.78/471,757 = 179,501.70/x
  3. Step 3: Cross multiply
    314,728.78x = 471,757 × 179,501.70
  4. Step 4: Simplify right side
    314,728.78x = 84,681,183,486.90
  5. Step 5: Solve for x
    x = 84,681,183,486.90/314,728.78
  6. Step 6: Final answer
    x = 269,060.82

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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.