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Finding the Fourth Proportional to 288,123.92, 432,153.48 and 110,506.32

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Solution

The fourth proportional to 288,123.92, 432,153.48 and 110,506.32 is: 165,747.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,123.92 : 432,153.48 = 110,506.32 : x
  2. Step 2: Convert to fraction form
    288,123.92/432,153.48 = 110,506.32/x
  3. Step 3: Cross multiply
    288,123.92x = 432,153.48 × 110,506.32
  4. Step 4: Simplify right side
    288,123.92x = 47,755,690,749.99
  5. Step 5: Solve for x
    x = 47,755,690,749.99/288,123.92
  6. Step 6: Final answer
    x = 165,747.05

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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.