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Finding the Fourth Proportional to 490,121.94, 735,008.95 and 143,808.78

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Solution

The fourth proportional to 490,121.94, 735,008.95 and 143,808.78 is: 215,662.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,121.94 : 735,008.95 = 143,808.78 : x
  2. Step 2: Convert to fraction form
    490,121.94/735,008.95 = 143,808.78/x
  3. Step 3: Cross multiply
    490,121.94x = 735,008.95 × 143,808.78
  4. Step 4: Simplify right side
    490,121.94x = 105,700,740,388.58
  5. Step 5: Solve for x
    x = 105,700,740,388.58/490,121.94
  6. Step 6: Final answer
    x = 215,662.13

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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.