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Finding the Fourth Proportional to 315,842.60, 473,788.74 and 105,481.28

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Solution

The fourth proportional to 315,842.60, 473,788.74 and 105,481.28 is: 158,230.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,842.60 : 473,788.74 = 105,481.28 : x
  2. Step 2: Convert to fraction form
    315,842.60/473,788.74 = 105,481.28/x
  3. Step 3: Cross multiply
    315,842.60x = 473,788.74 × 105,481.28
  4. Step 4: Simplify right side
    315,842.60x = 49,975,842,744.79
  5. Step 5: Solve for x
    x = 49,975,842,744.79/315,842.60
  6. Step 6: Final answer
    x = 158,230.22

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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.