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Finding the Fourth Proportional to 286,543.80, 429,815.70 and 220,113.68

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Solution

The fourth proportional to 286,543.80, 429,815.70 and 220,113.68 is: 330,170.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,543.80 : 429,815.70 = 220,113.68 : x
  2. Step 2: Convert to fraction form
    286,543.80/429,815.70 = 220,113.68/x
  3. Step 3: Cross multiply
    286,543.80x = 429,815.70 × 220,113.68
  4. Step 4: Simplify right side
    286,543.80x = 94,608,313,299.70
  5. Step 5: Solve for x
    x = 94,608,313,299.70/286,543.80
  6. Step 6: Final answer
    x = 330,170.51

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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.