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Finding the Fourth Proportional to 252,981, 349,113.78 and 152,398.44

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Solution

The fourth proportional to 252,981, 349,113.78 and 152,398.44 is: 210,309.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,981 : 349,113.78 = 152,398.44 : x
  2. Step 2: Convert to fraction form
    252,981/349,113.78 = 152,398.44/x
  3. Step 3: Cross multiply
    252,981x = 349,113.78 × 152,398.44
  4. Step 4: Simplify right side
    252,981x = 53,204,395,454.50
  5. Step 5: Solve for x
    x = 53,204,395,454.50/252,981
  6. Step 6: Final answer
    x = 210,309.85

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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.