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Finding the Fourth Proportional to 470,122.78, 648,751.24 and 255,257.92

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Solution

The fourth proportional to 470,122.78, 648,751.24 and 255,257.92 is: 352,246.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,122.78 : 648,751.24 = 255,257.92 : x
  2. Step 2: Convert to fraction form
    470,122.78/648,751.24 = 255,257.92/x
  3. Step 3: Cross multiply
    470,122.78x = 648,751.24 × 255,257.92
  4. Step 4: Simplify right side
    470,122.78x = 165,598,895,074.45
  5. Step 5: Solve for x
    x = 165,598,895,074.45/470,122.78
  6. Step 6: Final answer
    x = 352,246.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.