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Finding the Fourth Proportional to 493,849.41, 740,774.36 and 138,863.42

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Solution

The fourth proportional to 493,849.41, 740,774.36 and 138,863.42 is: 208,295.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,849.41 : 740,774.36 = 138,863.42 : x
  2. Step 2: Convert to fraction form
    493,849.41/740,774.36 = 138,863.42/x
  3. Step 3: Cross multiply
    493,849.41x = 740,774.36 × 138,863.42
  4. Step 4: Simplify right side
    493,849.41x = 102,866,460,499.10
  5. Step 5: Solve for x
    x = 102,866,460,499.10/493,849.41
  6. Step 6: Final answer
    x = 208,295.20

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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.