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Finding the Fourth Proportional to 470,081.52, 648,708.80 and 255,217.28

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Solution

The fourth proportional to 470,081.52, 648,708.80 and 255,217.28 is: 352,197.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,081.52 : 648,708.80 = 255,217.28 : x
  2. Step 2: Convert to fraction form
    470,081.52/648,708.80 = 255,217.28/x
  3. Step 3: Cross multiply
    470,081.52x = 648,708.80 × 255,217.28
  4. Step 4: Simplify right side
    470,081.52x = 165,561,695,448.06
  5. Step 5: Solve for x
    x = 165,561,695,448.06/470,081.52
  6. Step 6: Final answer
    x = 352,197.84

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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.