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Finding the Fourth Proportional to 288,116.90, 432,143 and 110,499.30

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Solution

The fourth proportional to 288,116.90, 432,143 and 110,499.30 is: 165,736.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,116.90 : 432,143 = 110,499.30 : x
  2. Step 2: Convert to fraction form
    288,116.90/432,143 = 110,499.30/x
  3. Step 3: Cross multiply
    288,116.90x = 432,143 × 110,499.30
  4. Step 4: Simplify right side
    288,116.90x = 47,751,498,999.90
  5. Step 5: Solve for x
    x = 47,751,498,999.90/288,116.90
  6. Step 6: Final answer
    x = 165,736.54

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1.5x scale

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.