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Finding the Fourth Proportional to 288,736.20, 433,104.30 and 78,400.20

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Solution

The fourth proportional to 288,736.20, 433,104.30 and 78,400.20 is: 117,600.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,736.20 : 433,104.30 = 78,400.20 : x
  2. Step 2: Convert to fraction form
    288,736.20/433,104.30 = 78,400.20/x
  3. Step 3: Cross multiply
    288,736.20x = 433,104.30 × 78,400.20
  4. Step 4: Simplify right side
    288,736.20x = 33,955,463,740.86
  5. Step 5: Solve for x
    x = 33,955,463,740.86/288,736.20
  6. Step 6: Final answer
    x = 117,600.30

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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.