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Finding the Fourth Proportional to 288,809.80, 433,243.65 and 99,245.20

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Solution

The fourth proportional to 288,809.80, 433,243.65 and 99,245.20 is: 148,877.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,809.80 : 433,243.65 = 99,245.20 : x
  2. Step 2: Convert to fraction form
    288,809.80/433,243.65 = 99,245.20/x
  3. Step 3: Cross multiply
    288,809.80x = 433,243.65 × 99,245.20
  4. Step 4: Simplify right side
    288,809.80x = 42,997,352,692.98
  5. Step 5: Solve for x
    x = 42,997,352,692.98/288,809.80
  6. Step 6: Final answer
    x = 148,877.75

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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.