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Finding the Fourth Proportional to 288,120.64, 432,250.08 and 110,629.12

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Solution

The fourth proportional to 288,120.64, 432,250.08 and 110,629.12 is: 165,970.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,120.64 : 432,250.08 = 110,629.12 : x
  2. Step 2: Convert to fraction form
    288,120.64/432,250.08 = 110,629.12/x
  3. Step 3: Cross multiply
    288,120.64x = 432,250.08 × 110,629.12
  4. Step 4: Simplify right side
    288,120.64x = 47,819,445,970.33
  5. Step 5: Solve for x
    x = 47,819,445,970.33/288,120.64
  6. Step 6: Final answer
    x = 165,970.22

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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.