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Finding the Fourth Proportional to 338,739.13, 508,305.47 and 151,750.63

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Solution

The fourth proportional to 338,739.13, 508,305.47 and 151,750.63 is: 227,714.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,739.13 : 508,305.47 = 151,750.63 : x
  2. Step 2: Convert to fraction form
    338,739.13/508,305.47 = 151,750.63/x
  3. Step 3: Cross multiply
    338,739.13x = 508,305.47 × 151,750.63
  4. Step 4: Simplify right side
    338,739.13x = 77,135,675,304.95
  5. Step 5: Solve for x
    x = 77,135,675,304.95/338,739.13
  6. Step 6: Final answer
    x = 227,714.10

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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.