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Finding the Fourth Proportional to 225,784.40, 338,465.40 and 85,637.20

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Solution

The fourth proportional to 225,784.40, 338,465.40 and 85,637.20 is: 128,375.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,784.40 : 338,465.40 = 85,637.20 : x
  2. Step 2: Convert to fraction form
    225,784.40/338,465.40 = 85,637.20/x
  3. Step 3: Cross multiply
    225,784.40x = 338,465.40 × 85,637.20
  4. Step 4: Simplify right side
    225,784.40x = 28,985,229,152.88
  5. Step 5: Solve for x
    x = 28,985,229,152.88/225,784.40
  6. Step 6: Final answer
    x = 128,375.69

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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.