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Finding the Fourth Proportional to 475,749.20, 713,978.60 and 191,442.29

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Solution

The fourth proportional to 475,749.20, 713,978.60 and 191,442.29 is: 287,306.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,749.20 : 713,978.60 = 191,442.29 : x
  2. Step 2: Convert to fraction form
    475,749.20/713,978.60 = 191,442.29/x
  3. Step 3: Cross multiply
    475,749.20x = 713,978.60 × 191,442.29
  4. Step 4: Simplify right side
    475,749.20x = 136,685,694,744.75
  5. Step 5: Solve for x
    x = 136,685,694,744.75/475,749.20
  6. Step 6: Final answer
    x = 287,306.20

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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.