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Finding the Fourth Proportional to 288,515.90, 398,146.10 and 175,375.10

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Solution

The fourth proportional to 288,515.90, 398,146.10 and 175,375.10 is: 242,014.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,515.90 : 398,146.10 = 175,375.10 : x
  2. Step 2: Convert to fraction form
    288,515.90/398,146.10 = 175,375.10/x
  3. Step 3: Cross multiply
    288,515.90x = 398,146.10 × 175,375.10
  4. Step 4: Simplify right side
    288,515.90x = 69,824,912,102.11
  5. Step 5: Solve for x
    x = 69,824,912,102.11/288,515.90
  6. Step 6: Final answer
    x = 242,014.09

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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.