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Finding the Fourth Proportional to 310,905.80, 466,358.70 and 205,843.40

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Solution

The fourth proportional to 310,905.80, 466,358.70 and 205,843.40 is: 308,765.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,905.80 : 466,358.70 = 205,843.40 : x
  2. Step 2: Convert to fraction form
    310,905.80/466,358.70 = 205,843.40/x
  3. Step 3: Cross multiply
    310,905.80x = 466,358.70 × 205,843.40
  4. Step 4: Simplify right side
    310,905.80x = 95,996,860,427.58
  5. Step 5: Solve for x
    x = 95,996,860,427.58/310,905.80
  6. Step 6: Final answer
    x = 308,765.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.