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Finding the Fourth Proportional to 399,583.76, 551,060.04 and 312,380.24

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Solution

The fourth proportional to 399,583.76, 551,060.04 and 312,380.24 is: 430,798.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,583.76 : 551,060.04 = 312,380.24 : x
  2. Step 2: Convert to fraction form
    399,583.76/551,060.04 = 312,380.24/x
  3. Step 3: Cross multiply
    399,583.76x = 551,060.04 × 312,380.24
  4. Step 4: Simplify right side
    399,583.76x = 172,140,267,549.61
  5. Step 5: Solve for x
    x = 172,140,267,549.61/399,583.76
  6. Step 6: Final answer
    x = 430,798.96

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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.