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Finding the Fourth Proportional to 288,180, 432,272.43 and 101,191.50

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Solution

The fourth proportional to 288,180, 432,272.43 and 101,191.50 is: 151,788.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,180 : 432,272.43 = 101,191.50 : x
  2. Step 2: Convert to fraction form
    288,180/432,272.43 = 101,191.50/x
  3. Step 3: Cross multiply
    288,180x = 432,272.43 × 101,191.50
  4. Step 4: Simplify right side
    288,180x = 43,742,295,600.35
  5. Step 5: Solve for x
    x = 43,742,295,600.35/288,180
  6. Step 6: Final answer
    x = 151,788.10

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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.