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Finding the Fourth Proportional to 470,085.52, 648,714.32 and 255,221.28

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Solution

The fourth proportional to 470,085.52, 648,714.32 and 255,221.28 is: 352,203.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,085.52 : 648,714.32 = 255,221.28 : x
  2. Step 2: Convert to fraction form
    470,085.52/648,714.32 = 255,221.28/x
  3. Step 3: Cross multiply
    470,085.52x = 648,714.32 × 255,221.28
  4. Step 4: Simplify right side
    470,085.52x = 165,565,699,104.73
  5. Step 5: Solve for x
    x = 165,565,699,104.73/470,085.52
  6. Step 6: Final answer
    x = 352,203.36

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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.