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Finding the Fourth Proportional to 315,103.68, 472,662 and 175,749.12

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Solution

The fourth proportional to 315,103.68, 472,662 and 175,749.12 is: 263,627.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,103.68 : 472,662 = 175,749.12 : x
  2. Step 2: Convert to fraction form
    315,103.68/472,662 = 175,749.12/x
  3. Step 3: Cross multiply
    315,103.68x = 472,662 × 175,749.12
  4. Step 4: Simplify right side
    315,103.68x = 83,069,930,557.44
  5. Step 5: Solve for x
    x = 83,069,930,557.44/315,103.68
  6. Step 6: Final answer
    x = 263,627.29

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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.