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Finding the Fourth Proportional to 288,051.90, 432,077.85 and 181,520.70

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Solution

The fourth proportional to 288,051.90, 432,077.85 and 181,520.70 is: 272,281.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,051.90 : 432,077.85 = 181,520.70 : x
  2. Step 2: Convert to fraction form
    288,051.90/432,077.85 = 181,520.70/x
  3. Step 3: Cross multiply
    288,051.90x = 432,077.85 × 181,520.70
  4. Step 4: Simplify right side
    288,051.90x = 78,431,073,786.50
  5. Step 5: Solve for x
    x = 78,431,073,786.50/288,051.90
  6. Step 6: Final answer
    x = 272,281.05

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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.