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Finding the Fourth Proportional to 288,194.10, 431,513.55 and 288,194.10

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Solution

The fourth proportional to 288,194.10, 431,513.55 and 288,194.10 is: 431,513.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,194.10 : 431,513.55 = 288,194.10 : x
  2. Step 2: Convert to fraction form
    288,194.10/431,513.55 = 288,194.10/x
  3. Step 3: Cross multiply
    288,194.10x = 431,513.55 × 288,194.10
  4. Step 4: Simplify right side
    288,194.10x = 124,359,659,180.06
  5. Step 5: Solve for x
    x = 124,359,659,180.06/288,194.10
  6. Step 6: Final answer
    x = 431,513.55

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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.