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Finding the Fourth Proportional to 625,713.34, 937,847.07 and 288,046

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Solution

The fourth proportional to 625,713.34, 937,847.07 and 288,046 is: 431,736.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,713.34 : 937,847.07 = 288,046 : x
  2. Step 2: Convert to fraction form
    625,713.34/937,847.07 = 288,046/x
  3. Step 3: Cross multiply
    625,713.34x = 937,847.07 × 288,046
  4. Step 4: Simplify right side
    625,713.34x = 270,143,097,125.22
  5. Step 5: Solve for x
    x = 270,143,097,125.22/625,713.34
  6. Step 6: Final answer
    x = 431,736.20

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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.