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Finding the Fourth Proportional to 391,652.34, 540,478.32 and 221,886.06

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Solution

The fourth proportional to 391,652.34, 540,478.32 and 221,886.06 is: 306,201.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,652.34 : 540,478.32 = 221,886.06 : x
  2. Step 2: Convert to fraction form
    391,652.34/540,478.32 = 221,886.06/x
  3. Step 3: Cross multiply
    391,652.34x = 540,478.32 × 221,886.06
  4. Step 4: Simplify right side
    391,652.34x = 119,924,604,940.22
  5. Step 5: Solve for x
    x = 119,924,604,940.22/391,652.34
  6. Step 6: Final answer
    x = 306,201.68

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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.