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Finding the Fourth Proportional to 288,801.30, 433,230.90 and 99,236.70

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Solution

The fourth proportional to 288,801.30, 433,230.90 and 99,236.70 is: 148,865.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,801.30 : 433,230.90 = 99,236.70 : x
  2. Step 2: Convert to fraction form
    288,801.30/433,230.90 = 99,236.70/x
  3. Step 3: Cross multiply
    288,801.30x = 433,230.90 × 99,236.70
  4. Step 4: Simplify right side
    288,801.30x = 42,992,404,854.03
  5. Step 5: Solve for x
    x = 42,992,404,854.03/288,801.30
  6. Step 6: Final answer
    x = 148,865.00

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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.