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Finding the Fourth Proportional to 557,949.92, 836,722.08 and 305,416.88

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Solution

The fourth proportional to 557,949.92, 836,722.08 and 305,416.88 is: 458,014.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,949.92 : 836,722.08 = 305,416.88 : x
  2. Step 2: Convert to fraction form
    557,949.92/836,722.08 = 305,416.88/x
  3. Step 3: Cross multiply
    557,949.92x = 836,722.08 × 305,416.88
  4. Step 4: Simplify right side
    557,949.92x = 255,549,047,100.71
  5. Step 5: Solve for x
    x = 255,549,047,100.71/557,949.92
  6. Step 6: Final answer
    x = 458,014.31

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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.