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Finding the Fourth Proportional to 411,463.63, 617,069.10 and 145,161.87

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Solution

The fourth proportional to 411,463.63, 617,069.10 and 145,161.87 is: 217,698.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,463.63 : 617,069.10 = 145,161.87 : x
  2. Step 2: Convert to fraction form
    411,463.63/617,069.10 = 145,161.87/x
  3. Step 3: Cross multiply
    411,463.63x = 617,069.10 × 145,161.87
  4. Step 4: Simplify right side
    411,463.63x = 89,574,902,932.54
  5. Step 5: Solve for x
    x = 89,574,902,932.54/411,463.63
  6. Step 6: Final answer
    x = 217,698.23

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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.