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Finding the Fourth Proportional to 426,649.10, 639,800.85 and 146,021.90

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Solution

The fourth proportional to 426,649.10, 639,800.85 and 146,021.90 is: 218,973.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,649.10 : 639,800.85 = 146,021.90 : x
  2. Step 2: Convert to fraction form
    426,649.10/639,800.85 = 146,021.90/x
  3. Step 3: Cross multiply
    426,649.10x = 639,800.85 × 146,021.90
  4. Step 4: Simplify right side
    426,649.10x = 93,424,935,738.62
  5. Step 5: Solve for x
    x = 93,424,935,738.62/426,649.10
  6. Step 6: Final answer
    x = 218,973.71

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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.