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Finding the Fourth Proportional to 288,045.45, 397,391.85 and 180,428.13

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Solution

The fourth proportional to 288,045.45, 397,391.85 and 180,428.13 is: 248,921.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,045.45 : 397,391.85 = 180,428.13 : x
  2. Step 2: Convert to fraction form
    288,045.45/397,391.85 = 180,428.13/x
  3. Step 3: Cross multiply
    288,045.45x = 397,391.85 × 180,428.13
  4. Step 4: Simplify right side
    288,045.45x = 71,700,667,627.63
  5. Step 5: Solve for x
    x = 71,700,667,627.63/288,045.45
  6. Step 6: Final answer
    x = 248,921.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.