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Finding the Fourth Proportional to 288,112.56, 432,168.84 and 77,750.48

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Solution

The fourth proportional to 288,112.56, 432,168.84 and 77,750.48 is: 116,625.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,112.56 : 432,168.84 = 77,750.48 : x
  2. Step 2: Convert to fraction form
    288,112.56/432,168.84 = 77,750.48/x
  3. Step 3: Cross multiply
    288,112.56x = 432,168.84 × 77,750.48
  4. Step 4: Simplify right side
    288,112.56x = 33,601,334,751.04
  5. Step 5: Solve for x
    x = 33,601,334,751.04/288,112.56
  6. Step 6: Final answer
    x = 116,625.72

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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.