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Finding the Fourth Proportional to 288,939.86, 433,302.02 and 99,346.58

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Solution

The fourth proportional to 288,939.86, 433,302.02 and 99,346.58 is: 148,982.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,939.86 : 433,302.02 = 99,346.58 : x
  2. Step 2: Convert to fraction form
    288,939.86/433,302.02 = 99,346.58/x
  3. Step 3: Cross multiply
    288,939.86x = 433,302.02 × 99,346.58
  4. Step 4: Simplify right side
    288,939.86x = 43,047,073,794.09
  5. Step 5: Solve for x
    x = 43,047,073,794.09/288,939.86
  6. Step 6: Final answer
    x = 148,982.82

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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.