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Finding the Fourth Proportional to 547,962, 756,192 and 306,254.76

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Solution

The fourth proportional to 547,962, 756,192 and 306,254.76 is: 422,634.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,962 : 756,192 = 306,254.76 : x
  2. Step 2: Convert to fraction form
    547,962/756,192 = 306,254.76/x
  3. Step 3: Cross multiply
    547,962x = 756,192 × 306,254.76
  4. Step 4: Simplify right side
    547,962x = 231,587,399,473.92
  5. Step 5: Solve for x
    x = 231,587,399,473.92/547,962
  6. Step 6: Final answer
    x = 422,634.05

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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.