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Finding the Fourth Proportional to 384,086.80, 576,130.20 and 347,345.20

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Solution

The fourth proportional to 384,086.80, 576,130.20 and 347,345.20 is: 521,017.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,086.80 : 576,130.20 = 347,345.20 : x
  2. Step 2: Convert to fraction form
    384,086.80/576,130.20 = 347,345.20/x
  3. Step 3: Cross multiply
    384,086.80x = 576,130.20 × 347,345.20
  4. Step 4: Simplify right side
    384,086.80x = 200,116,059,545.04
  5. Step 5: Solve for x
    x = 200,116,059,545.04/384,086.80
  6. Step 6: Final answer
    x = 521,017.80

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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.