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Finding the Fourth Proportional to 391,929.95, 540,862.94 and 222,164.08

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Solution

The fourth proportional to 391,929.95, 540,862.94 and 222,164.08 is: 306,586.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,929.95 : 540,862.94 = 222,164.08 : x
  2. Step 2: Convert to fraction form
    391,929.95/540,862.94 = 222,164.08/x
  3. Step 3: Cross multiply
    391,929.95x = 540,862.94 × 222,164.08
  4. Step 4: Simplify right side
    391,929.95x = 120,160,316,674.45
  5. Step 5: Solve for x
    x = 120,160,316,674.45/391,929.95
  6. Step 6: Final answer
    x = 306,586.20

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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.