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Finding the Fourth Proportional to 616,429.80, 850,734.36 and 361,775.52

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Solution

The fourth proportional to 616,429.80, 850,734.36 and 361,775.52 is: 499,286.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,429.80 : 850,734.36 = 361,775.52 : x
  2. Step 2: Convert to fraction form
    616,429.80/850,734.36 = 361,775.52/x
  3. Step 3: Cross multiply
    616,429.80x = 850,734.36 × 361,775.52
  4. Step 4: Simplify right side
    616,429.80x = 307,774,865,470.87
  5. Step 5: Solve for x
    x = 307,774,865,470.87/616,429.80
  6. Step 6: Final answer
    x = 499,286.16

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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.