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Finding the Fourth Proportional to 200,982.40, 301,819.20 and 142,230.40

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Solution

The fourth proportional to 200,982.40, 301,819.20 and 142,230.40 is: 213,590.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,982.40 : 301,819.20 = 142,230.40 : x
  2. Step 2: Convert to fraction form
    200,982.40/301,819.20 = 142,230.40/x
  3. Step 3: Cross multiply
    200,982.40x = 301,819.20 × 142,230.40
  4. Step 4: Simplify right side
    200,982.40x = 42,927,865,543.68
  5. Step 5: Solve for x
    x = 42,927,865,543.68/200,982.40
  6. Step 6: Final answer
    x = 213,590.17

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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.