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Finding the Fourth Proportional to 409,378.56, 614,150.64 and 172,721.76

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Solution

The fourth proportional to 409,378.56, 614,150.64 and 172,721.76 is: 259,117.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,378.56 : 614,150.64 = 172,721.76 : x
  2. Step 2: Convert to fraction form
    409,378.56/614,150.64 = 172,721.76/x
  3. Step 3: Cross multiply
    409,378.56x = 614,150.64 × 172,721.76
  4. Step 4: Simplify right side
    409,378.56x = 106,077,179,445.93
  5. Step 5: Solve for x
    x = 106,077,179,445.93/409,378.56
  6. Step 6: Final answer
    x = 259,117.57

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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.