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Finding the Fourth Proportional to 315,508.77, 435,398.90 and 194,601.69

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Solution

The fourth proportional to 315,508.77, 435,398.90 and 194,601.69 is: 268,548.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,508.77 : 435,398.90 = 194,601.69 : x
  2. Step 2: Convert to fraction form
    315,508.77/435,398.90 = 194,601.69/x
  3. Step 3: Cross multiply
    315,508.77x = 435,398.90 × 194,601.69
  4. Step 4: Simplify right side
    315,508.77x = 84,729,360,791.13
  5. Step 5: Solve for x
    x = 84,729,360,791.13/315,508.77
  6. Step 6: Final answer
    x = 268,548.35

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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.