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Finding the Fourth Proportional to 288,980.20, 433,470.30 and 200,333.80

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Solution

The fourth proportional to 288,980.20, 433,470.30 and 200,333.80 is: 300,500.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,980.20 : 433,470.30 = 200,333.80 : x
  2. Step 2: Convert to fraction form
    288,980.20/433,470.30 = 200,333.80/x
  3. Step 3: Cross multiply
    288,980.20x = 433,470.30 × 200,333.80
  4. Step 4: Simplify right side
    288,980.20x = 86,838,752,386.14
  5. Step 5: Solve for x
    x = 86,838,752,386.14/288,980.20
  6. Step 6: Final answer
    x = 300,500.70

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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.