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Finding the Fourth Proportional to 501,842.20, 752,690.40 and 146,819.20

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Solution

The fourth proportional to 501,842.20, 752,690.40 and 146,819.20 is: 220,207.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,842.20 : 752,690.40 = 146,819.20 : x
  2. Step 2: Convert to fraction form
    501,842.20/752,690.40 = 146,819.20/x
  3. Step 3: Cross multiply
    501,842.20x = 752,690.40 × 146,819.20
  4. Step 4: Simplify right side
    501,842.20x = 110,509,402,375.68
  5. Step 5: Solve for x
    x = 110,509,402,375.68/501,842.20
  6. Step 6: Final answer
    x = 220,207.47

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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.