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Finding the Fourth Proportional to 301,853.60, 452,780.40 and 218,200.85

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Solution

The fourth proportional to 301,853.60, 452,780.40 and 218,200.85 is: 327,301.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,853.60 : 452,780.40 = 218,200.85 : x
  2. Step 2: Convert to fraction form
    301,853.60/452,780.40 = 218,200.85/x
  3. Step 3: Cross multiply
    301,853.60x = 452,780.40 × 218,200.85
  4. Step 4: Simplify right side
    301,853.60x = 98,797,068,143.34
  5. Step 5: Solve for x
    x = 98,797,068,143.34/301,853.60
  6. Step 6: Final answer
    x = 327,301.28

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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.