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Finding the Fourth Proportional to 407,080.80, 610,521.64 and 318,113.64

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Solution

The fourth proportional to 407,080.80, 610,521.64 and 318,113.64 is: 477,092.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,080.80 : 610,521.64 = 318,113.64 : x
  2. Step 2: Convert to fraction form
    407,080.80/610,521.64 = 318,113.64/x
  3. Step 3: Cross multiply
    407,080.80x = 610,521.64 × 318,113.64
  4. Step 4: Simplify right side
    407,080.80x = 194,215,261,199.17
  5. Step 5: Solve for x
    x = 194,215,261,199.17/407,080.80
  6. Step 6: Final answer
    x = 477,092.66

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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.