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Finding the Fourth Proportional to 403,222.70, 604,834.05 and 261,505.10

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Solution

The fourth proportional to 403,222.70, 604,834.05 and 261,505.10 is: 392,257.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,222.70 : 604,834.05 = 261,505.10 : x
  2. Step 2: Convert to fraction form
    403,222.70/604,834.05 = 261,505.10/x
  3. Step 3: Cross multiply
    403,222.70x = 604,834.05 × 261,505.10
  4. Step 4: Simplify right side
    403,222.70x = 158,167,188,728.66
  5. Step 5: Solve for x
    x = 158,167,188,728.66/403,222.70
  6. Step 6: Final answer
    x = 392,257.65

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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.