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Finding the Fourth Proportional to 470,117.70, 648,762.46 and 255,257.90

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Solution

The fourth proportional to 470,117.70, 648,762.46 and 255,257.90 is: 352,255.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,117.70 : 648,762.46 = 255,257.90 : x
  2. Step 2: Convert to fraction form
    470,117.70/648,762.46 = 255,257.90/x
  3. Step 3: Cross multiply
    470,117.70x = 648,762.46 × 255,257.90
  4. Step 4: Simplify right side
    470,117.70x = 165,601,743,138.43
  5. Step 5: Solve for x
    x = 165,601,743,138.43/470,117.70
  6. Step 6: Final answer
    x = 352,255.92

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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.