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Finding the Fourth Proportional to 625,382, 863,740 and 423,828.08

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Solution

The fourth proportional to 625,382, 863,740 and 423,828.08 is: 585,365.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,382 : 863,740 = 423,828.08 : x
  2. Step 2: Convert to fraction form
    625,382/863,740 = 423,828.08/x
  3. Step 3: Cross multiply
    625,382x = 863,740 × 423,828.08
  4. Step 4: Simplify right side
    625,382x = 366,077,265,819.20
  5. Step 5: Solve for x
    x = 366,077,265,819.20/625,382
  6. Step 6: Final answer
    x = 585,365.85

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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.