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Finding the Fourth Proportional to 293,291.57, 404,742.36 and 159,155.57

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Solution

The fourth proportional to 293,291.57, 404,742.36 and 159,155.57 is: 219,634.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,291.57 : 404,742.36 = 159,155.57 : x
  2. Step 2: Convert to fraction form
    293,291.57/404,742.36 = 159,155.57/x
  3. Step 3: Cross multiply
    293,291.57x = 404,742.36 × 159,155.57
  4. Step 4: Simplify right side
    293,291.57x = 64,417,001,008.95
  5. Step 5: Solve for x
    x = 64,417,001,008.95/293,291.57
  6. Step 6: Final answer
    x = 219,634.68

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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.