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Finding the Fourth Proportional to 310,287.60, 465,458.10 and 85,648.08

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Solution

The fourth proportional to 310,287.60, 465,458.10 and 85,648.08 is: 128,479.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,287.60 : 465,458.10 = 85,648.08 : x
  2. Step 2: Convert to fraction form
    310,287.60/465,458.10 = 85,648.08/x
  3. Step 3: Cross multiply
    310,287.60x = 465,458.10 × 85,648.08
  4. Step 4: Simplify right side
    310,287.60x = 39,865,592,585.45
  5. Step 5: Solve for x
    x = 39,865,592,585.45/310,287.60
  6. Step 6: Final answer
    x = 128,479.49

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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.