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Finding the Fourth Proportional to 226,031.20, 338,830.80 and 83,838.40

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Solution

The fourth proportional to 226,031.20, 338,830.80 and 83,838.40 is: 125,677.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,031.20 : 338,830.80 = 83,838.40 : x
  2. Step 2: Convert to fraction form
    226,031.20/338,830.80 = 83,838.40/x
  3. Step 3: Cross multiply
    226,031.20x = 338,830.80 × 83,838.40
  4. Step 4: Simplify right side
    226,031.20x = 28,407,032,142.72
  5. Step 5: Solve for x
    x = 28,407,032,142.72/226,031.20
  6. Step 6: Final answer
    x = 125,677.48

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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.