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Finding the Fourth Proportional to 242,117.20, 339,314 and 242,117.20

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Solution

The fourth proportional to 242,117.20, 339,314 and 242,117.20 is: 339,314

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,117.20 : 339,314 = 242,117.20 : x
  2. Step 2: Convert to fraction form
    242,117.20/339,314 = 242,117.20/x
  3. Step 3: Cross multiply
    242,117.20x = 339,314 × 242,117.20
  4. Step 4: Simplify right side
    242,117.20x = 82,153,755,600.80
  5. Step 5: Solve for x
    x = 82,153,755,600.80/242,117.20
  6. Step 6: Final answer
    x = 339,314

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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.