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Finding the Fourth Proportional to 641,218, 884,921.80 and 358,594

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Solution

The fourth proportional to 641,218, 884,921.80 and 358,594 is: 494,882.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,218 : 884,921.80 = 358,594 : x
  2. Step 2: Convert to fraction form
    641,218/884,921.80 = 358,594/x
  3. Step 3: Cross multiply
    641,218x = 884,921.80 × 358,594
  4. Step 4: Simplify right side
    641,218x = 317,327,647,949.20
  5. Step 5: Solve for x
    x = 317,327,647,949.20/641,218
  6. Step 6: Final answer
    x = 494,882.63

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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.