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Finding the Fourth Proportional to 391,108, 539,729.04 and 212,260

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Solution

The fourth proportional to 391,108, 539,729.04 and 212,260 is: 292,918.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,108 : 539,729.04 = 212,260 : x
  2. Step 2: Convert to fraction form
    391,108/539,729.04 = 212,260/x
  3. Step 3: Cross multiply
    391,108x = 539,729.04 × 212,260
  4. Step 4: Simplify right side
    391,108x = 114,562,886,030.40
  5. Step 5: Solve for x
    x = 114,562,886,030.40/391,108
  6. Step 6: Final answer
    x = 292,918.80

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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.