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Finding the Fourth Proportional to 493,291.85, 680,491.98 and 299,648.18

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Solution

The fourth proportional to 493,291.85, 680,491.98 and 299,648.18 is: 413,362.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,291.85 : 680,491.98 = 299,648.18 : x
  2. Step 2: Convert to fraction form
    493,291.85/680,491.98 = 299,648.18/x
  3. Step 3: Cross multiply
    493,291.85x = 680,491.98 × 299,648.18
  4. Step 4: Simplify right side
    493,291.85x = 203,908,179,909.14
  5. Step 5: Solve for x
    x = 203,908,179,909.14/493,291.85
  6. Step 6: Final answer
    x = 413,362.15

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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.