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Finding the Fourth Proportional to 193,485.20, 290,227.80 and 165,837.20

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Solution

The fourth proportional to 193,485.20, 290,227.80 and 165,837.20 is: 248,755.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,485.20 : 290,227.80 = 165,837.20 : x
  2. Step 2: Convert to fraction form
    193,485.20/290,227.80 = 165,837.20/x
  3. Step 3: Cross multiply
    193,485.20x = 290,227.80 × 165,837.20
  4. Step 4: Simplify right side
    193,485.20x = 48,130,565,714.16
  5. Step 5: Solve for x
    x = 48,130,565,714.16/193,485.20
  6. Step 6: Final answer
    x = 248,755.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.