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Finding the Fourth Proportional to 470,279.28, 648,993.16 and 255,419.50

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Solution

The fourth proportional to 470,279.28, 648,993.16 and 255,419.50 is: 352,483.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,279.28 : 648,993.16 = 255,419.50 : x
  2. Step 2: Convert to fraction form
    470,279.28/648,993.16 = 255,419.50/x
  3. Step 3: Cross multiply
    470,279.28x = 648,993.16 × 255,419.50
  4. Step 4: Simplify right side
    470,279.28x = 165,765,508,430.62
  5. Step 5: Solve for x
    x = 165,765,508,430.62/470,279.28
  6. Step 6: Final answer
    x = 352,483.12

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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.