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Finding the Fourth Proportional to 421,000.76, 580,229.52 and 318,782

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Solution

The fourth proportional to 421,000.76, 580,229.52 and 318,782 is: 439,350.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,000.76 : 580,229.52 = 318,782 : x
  2. Step 2: Convert to fraction form
    421,000.76/580,229.52 = 318,782/x
  3. Step 3: Cross multiply
    421,000.76x = 580,229.52 × 318,782
  4. Step 4: Simplify right side
    421,000.76x = 184,966,726,844.64
  5. Step 5: Solve for x
    x = 184,966,726,844.64/421,000.76
  6. Step 6: Final answer
    x = 439,350.10

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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.