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Finding the Fourth Proportional to 491,296.31, 736,506.17 and 191,707.20

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Solution

The fourth proportional to 491,296.31, 736,506.17 and 191,707.20 is: 287,389.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,296.31 : 736,506.17 = 191,707.20 : x
  2. Step 2: Convert to fraction form
    491,296.31/736,506.17 = 191,707.20/x
  3. Step 3: Cross multiply
    491,296.31x = 736,506.17 × 191,707.20
  4. Step 4: Simplify right side
    491,296.31x = 141,193,534,674.89
  5. Step 5: Solve for x
    x = 141,193,534,674.89/491,296.31
  6. Step 6: Final answer
    x = 287,389.78

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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.