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Finding the Fourth Proportional to 409,420.12, 614,475.24 and 172,932.52

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Solution

The fourth proportional to 409,420.12, 614,475.24 and 172,932.52 is: 259,544.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,420.12 : 614,475.24 = 172,932.52 : x
  2. Step 2: Convert to fraction form
    409,420.12/614,475.24 = 172,932.52/x
  3. Step 3: Cross multiply
    409,420.12x = 614,475.24 × 172,932.52
  4. Step 4: Simplify right side
    409,420.12x = 106,262,751,730.81
  5. Step 5: Solve for x
    x = 106,262,751,730.81/409,420.12
  6. Step 6: Final answer
    x = 259,544.53

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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.