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Finding the Fourth Proportional to 288,803.52, 433,200.36 and 120,414.24

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Solution

The fourth proportional to 288,803.52, 433,200.36 and 120,414.24 is: 180,619.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,803.52 : 433,200.36 = 120,414.24 : x
  2. Step 2: Convert to fraction form
    288,803.52/433,200.36 = 120,414.24/x
  3. Step 3: Cross multiply
    288,803.52x = 433,200.36 × 120,414.24
  4. Step 4: Simplify right side
    288,803.52x = 52,163,492,117.13
  5. Step 5: Solve for x
    x = 52,163,492,117.13/288,803.52
  6. Step 6: Final answer
    x = 180,619.31

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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.