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Finding the Fourth Proportional to 384,105.65, 575,666.40 and 341,787.20

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Solution

The fourth proportional to 384,105.65, 575,666.40 and 341,787.20 is: 512,242.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,105.65 : 575,666.40 = 341,787.20 : x
  2. Step 2: Convert to fraction form
    384,105.65/575,666.40 = 341,787.20/x
  3. Step 3: Cross multiply
    384,105.65x = 575,666.40 × 341,787.20
  4. Step 4: Simplify right side
    384,105.65x = 196,755,406,990.08
  5. Step 5: Solve for x
    x = 196,755,406,990.08/384,105.65
  6. Step 6: Final answer
    x = 512,242.94

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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.