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Finding the Fourth Proportional to 510,713.02, 766,348.17 and 211,219.57

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Solution

The fourth proportional to 510,713.02, 766,348.17 and 211,219.57 is: 316,944.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,713.02 : 766,348.17 = 211,219.57 : x
  2. Step 2: Convert to fraction form
    510,713.02/766,348.17 = 211,219.57/x
  3. Step 3: Cross multiply
    510,713.02x = 766,348.17 × 211,219.57
  4. Step 4: Simplify right side
    510,713.02x = 161,867,730,937.69
  5. Step 5: Solve for x
    x = 161,867,730,937.69/510,713.02
  6. Step 6: Final answer
    x = 316,944.59

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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.