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Finding the Fourth Proportional to 384,072.30, 576,108.45 and 258,101.10

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Solution

The fourth proportional to 384,072.30, 576,108.45 and 258,101.10 is: 387,151.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,072.30 : 576,108.45 = 258,101.10 : x
  2. Step 2: Convert to fraction form
    384,072.30/576,108.45 = 258,101.10/x
  3. Step 3: Cross multiply
    384,072.30x = 576,108.45 × 258,101.10
  4. Step 4: Simplify right side
    384,072.30x = 148,694,224,664.30
  5. Step 5: Solve for x
    x = 148,694,224,664.30/384,072.30
  6. Step 6: Final answer
    x = 387,151.65

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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.