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Finding the Fourth Proportional to 288,502.20, 432,753.24 and 120,019.32

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Solution

The fourth proportional to 288,502.20, 432,753.24 and 120,019.32 is: 180,028.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,502.20 : 432,753.24 = 120,019.32 : x
  2. Step 2: Convert to fraction form
    288,502.20/432,753.24 = 120,019.32/x
  3. Step 3: Cross multiply
    288,502.20x = 432,753.24 × 120,019.32
  4. Step 4: Simplify right side
    288,502.20x = 51,938,749,592.60
  5. Step 5: Solve for x
    x = 51,938,749,592.60/288,502.20
  6. Step 6: Final answer
    x = 180,028.96

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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.