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Finding the Fourth Proportional to 288,791.28, 398,547 and 174,106.44

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Solution

The fourth proportional to 288,791.28, 398,547 and 174,106.44 is: 240,275.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,791.28 : 398,547 = 174,106.44 : x
  2. Step 2: Convert to fraction form
    288,791.28/398,547 = 174,106.44/x
  3. Step 3: Cross multiply
    288,791.28x = 398,547 × 174,106.44
  4. Step 4: Simplify right side
    288,791.28x = 69,389,599,342.68
  5. Step 5: Solve for x
    x = 69,389,599,342.68/288,791.28
  6. Step 6: Final answer
    x = 240,275.95

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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.