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Finding the Fourth Proportional to 288,195.80, 402,541 and 288,195.80

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Solution

The fourth proportional to 288,195.80, 402,541 and 288,195.80 is: 402,541

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,195.80 : 402,541 = 288,195.80 : x
  2. Step 2: Convert to fraction form
    288,195.80/402,541 = 288,195.80/x
  3. Step 3: Cross multiply
    288,195.80x = 402,541 × 288,195.80
  4. Step 4: Simplify right side
    288,195.80x = 116,010,625,527.80
  5. Step 5: Solve for x
    x = 116,010,625,527.80/288,195.80
  6. Step 6: Final answer
    x = 402,541

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.