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Finding the Fourth Proportional to 625,770.56, 864,276.12 and 424,216.64

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Solution

The fourth proportional to 625,770.56, 864,276.12 and 424,216.64 is: 585,902.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,770.56 : 864,276.12 = 424,216.64 : x
  2. Step 2: Convert to fraction form
    625,770.56/864,276.12 = 424,216.64/x
  3. Step 3: Cross multiply
    625,770.56x = 864,276.12 × 424,216.64
  4. Step 4: Simplify right side
    625,770.56x = 366,640,311,658.64
  5. Step 5: Solve for x
    x = 366,640,311,658.64/625,770.56
  6. Step 6: Final answer
    x = 585,902.14

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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.