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Finding the Fourth Proportional to 326,943.30, 490,117.86 and 291,513.90

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Solution

The fourth proportional to 326,943.30, 490,117.86 and 291,513.90 is: 437,005.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,943.30 : 490,117.86 = 291,513.90 : x
  2. Step 2: Convert to fraction form
    326,943.30/490,117.86 = 291,513.90/x
  3. Step 3: Cross multiply
    326,943.30x = 490,117.86 × 291,513.90
  4. Step 4: Simplify right side
    326,943.30x = 142,876,168,828.25
  5. Step 5: Solve for x
    x = 142,876,168,828.25/326,943.30
  6. Step 6: Final answer
    x = 437,005.95

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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.