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Finding the Fourth Proportional to 310,287.78, 465,458.39 and 85,648.26

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Solution

The fourth proportional to 310,287.78, 465,458.39 and 85,648.26 is: 128,479.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,287.78 : 465,458.39 = 85,648.26 : x
  2. Step 2: Convert to fraction form
    310,287.78/465,458.39 = 85,648.26/x
  3. Step 3: Cross multiply
    310,287.78x = 465,458.39 × 85,648.26
  4. Step 4: Simplify right side
    310,287.78x = 39,865,701,205.90
  5. Step 5: Solve for x
    x = 39,865,701,205.90/310,287.78
  6. Step 6: Final answer
    x = 128,479.77

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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.