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Finding the Fourth Proportional to 470,277.44, 648,980.48 and 255,416

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Solution

The fourth proportional to 470,277.44, 648,980.48 and 255,416 is: 352,472.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,277.44 : 648,980.48 = 255,416 : x
  2. Step 2: Convert to fraction form
    470,277.44/648,980.48 = 255,416/x
  3. Step 3: Cross multiply
    470,277.44x = 648,980.48 × 255,416
  4. Step 4: Simplify right side
    470,277.44x = 165,759,998,279.68
  5. Step 5: Solve for x
    x = 165,759,998,279.68/470,277.44
  6. Step 6: Final answer
    x = 352,472.78

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1.5x scale

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.