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Finding the Fourth Proportional to 470,115.69, 648,759.69 and 255,255.90

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Solution

The fourth proportional to 470,115.69, 648,759.69 and 255,255.90 is: 352,253.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,115.69 : 648,759.69 = 255,255.90 : x
  2. Step 2: Convert to fraction form
    470,115.69/648,759.69 = 255,255.90/x
  3. Step 3: Cross multiply
    470,115.69x = 648,759.69 × 255,255.90
  4. Step 4: Simplify right side
    470,115.69x = 165,599,738,554.67
  5. Step 5: Solve for x
    x = 165,599,738,554.67/470,115.69
  6. Step 6: Final answer
    x = 352,253.16

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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.