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Finding the Fourth Proportional to 230,417.52, 345,614.76 and 90,201.84

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Solution

The fourth proportional to 230,417.52, 345,614.76 and 90,201.84 is: 135,298.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,417.52 : 345,614.76 = 90,201.84 : x
  2. Step 2: Convert to fraction form
    230,417.52/345,614.76 = 90,201.84/x
  3. Step 3: Cross multiply
    230,417.52x = 345,614.76 × 90,201.84
  4. Step 4: Simplify right side
    230,417.52x = 31,175,087,283.16
  5. Step 5: Solve for x
    x = 31,175,087,283.16/230,417.52
  6. Step 6: Final answer
    x = 135,298.25

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1.5x scale

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.