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Finding the Fourth Proportional to 253,671.52, 380,511 and 120,565.36

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Solution

The fourth proportional to 253,671.52, 380,511 and 120,565.36 is: 180,849.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,671.52 : 380,511 = 120,565.36 : x
  2. Step 2: Convert to fraction form
    253,671.52/380,511 = 120,565.36/x
  3. Step 3: Cross multiply
    253,671.52x = 380,511 × 120,565.36
  4. Step 4: Simplify right side
    253,671.52x = 45,876,445,698.96
  5. Step 5: Solve for x
    x = 45,876,445,698.96/253,671.52
  6. Step 6: Final answer
    x = 180,849.81

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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.