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Finding the Fourth Proportional to 468,266.30, 645,969.33 and 284,456.04

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Solution

The fourth proportional to 468,266.30, 645,969.33 and 284,456.04 is: 392,404.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,266.30 : 645,969.33 = 284,456.04 : x
  2. Step 2: Convert to fraction form
    468,266.30/645,969.33 = 284,456.04/x
  3. Step 3: Cross multiply
    468,266.30x = 645,969.33 × 284,456.04
  4. Step 4: Simplify right side
    468,266.30x = 183,749,875,150.87
  5. Step 5: Solve for x
    x = 183,749,875,150.87/468,266.30
  6. Step 6: Final answer
    x = 392,404.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.