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Finding the Fourth Proportional to 409,225.66, 564,759.78 and 248,087.50

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Solution

The fourth proportional to 409,225.66, 564,759.78 and 248,087.50 is: 342,377.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,225.66 : 564,759.78 = 248,087.50 : x
  2. Step 2: Convert to fraction form
    409,225.66/564,759.78 = 248,087.50/x
  3. Step 3: Cross multiply
    409,225.66x = 564,759.78 × 248,087.50
  4. Step 4: Simplify right side
    409,225.66x = 140,109,841,920.75
  5. Step 5: Solve for x
    x = 140,109,841,920.75/409,225.66
  6. Step 6: Final answer
    x = 342,377.95

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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.