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Finding the Fourth Proportional to 391,061.46, 539,664.81 and 212,213.46

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Solution

The fourth proportional to 391,061.46, 539,664.81 and 212,213.46 is: 292,854.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,061.46 : 539,664.81 = 212,213.46 : x
  2. Step 2: Convert to fraction form
    391,061.46/539,664.81 = 212,213.46/x
  3. Step 3: Cross multiply
    391,061.46x = 539,664.81 × 212,213.46
  4. Step 4: Simplify right side
    391,061.46x = 114,524,136,570.34
  5. Step 5: Solve for x
    x = 114,524,136,570.34/391,061.46
  6. Step 6: Final answer
    x = 292,854.57

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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.