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Finding the Fourth Proportional to 311,928.30, 467,892.45 and 288,308.70

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Solution

The fourth proportional to 311,928.30, 467,892.45 and 288,308.70 is: 432,463.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,928.30 : 467,892.45 = 288,308.70 : x
  2. Step 2: Convert to fraction form
    311,928.30/467,892.45 = 288,308.70/x
  3. Step 3: Cross multiply
    311,928.30x = 467,892.45 × 288,308.70
  4. Step 4: Simplify right side
    311,928.30x = 134,897,463,999.32
  5. Step 5: Solve for x
    x = 134,897,463,999.32/311,928.30
  6. Step 6: Final answer
    x = 432,463.05

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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.