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Finding the Fourth Proportional to 384,143.65, 576,210.84 and 99,809.04

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Solution

The fourth proportional to 384,143.65, 576,210.84 and 99,809.04 is: 149,712.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,143.65 : 576,210.84 = 99,809.04 : x
  2. Step 2: Convert to fraction form
    384,143.65/576,210.84 = 99,809.04/x
  3. Step 3: Cross multiply
    384,143.65x = 576,210.84 × 99,809.04
  4. Step 4: Simplify right side
    384,143.65x = 57,511,050,777.99
  5. Step 5: Solve for x
    x = 57,511,050,777.99/384,143.65
  6. Step 6: Final answer
    x = 149,712.36

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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.