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Finding the Fourth Proportional to 391,112, 539,734.56 and 212,264

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Solution

The fourth proportional to 391,112, 539,734.56 and 212,264 is: 292,924.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,112 : 539,734.56 = 212,264 : x
  2. Step 2: Convert to fraction form
    391,112/539,734.56 = 212,264/x
  3. Step 3: Cross multiply
    391,112x = 539,734.56 × 212,264
  4. Step 4: Simplify right side
    391,112x = 114,566,216,643.84
  5. Step 5: Solve for x
    x = 114,566,216,643.84/391,112
  6. Step 6: Final answer
    x = 292,924.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.