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Finding the Fourth Proportional to 310,195.76, 428,070.24 and 174,229.92

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Solution

The fourth proportional to 310,195.76, 428,070.24 and 174,229.92 is: 240,437.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,195.76 : 428,070.24 = 174,229.92 : x
  2. Step 2: Convert to fraction form
    310,195.76/428,070.24 = 174,229.92/x
  3. Step 3: Cross multiply
    310,195.76x = 428,070.24 × 174,229.92
  4. Step 4: Simplify right side
    310,195.76x = 74,582,643,669.58
  5. Step 5: Solve for x
    x = 74,582,643,669.58/310,195.76
  6. Step 6: Final answer
    x = 240,437.34

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1.5x scale

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.