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Finding the Fourth Proportional to 326,931.78, 490,394.53 and 193,716.15

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Solution

The fourth proportional to 326,931.78, 490,394.53 and 193,716.15 is: 290,572.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,931.78 : 490,394.53 = 193,716.15 : x
  2. Step 2: Convert to fraction form
    326,931.78/490,394.53 = 193,716.15/x
  3. Step 3: Cross multiply
    326,931.78x = 490,394.53 × 193,716.15
  4. Step 4: Simplify right side
    326,931.78x = 94,997,340,332.66
  5. Step 5: Solve for x
    x = 94,997,340,332.66/326,931.78
  6. Step 6: Final answer
    x = 290,572.36

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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.