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Finding the Fourth Proportional to 407,577.24, 611,278.32 and 255,701.16

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Solution

The fourth proportional to 407,577.24, 611,278.32 and 255,701.16 is: 383,496.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,577.24 : 611,278.32 = 255,701.16 : x
  2. Step 2: Convert to fraction form
    407,577.24/611,278.32 = 255,701.16/x
  3. Step 3: Cross multiply
    407,577.24x = 611,278.32 × 255,701.16
  4. Step 4: Simplify right side
    407,577.24x = 156,304,575,506.85
  5. Step 5: Solve for x
    x = 156,304,575,506.85/407,577.24
  6. Step 6: Final answer
    x = 383,496.82

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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.