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Finding the Fourth Proportional to 647,615.43, 893,713.20 and 361,153.65

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Solution

The fourth proportional to 647,615.43, 893,713.20 and 361,153.65 is: 498,394.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,615.43 : 893,713.20 = 361,153.65 : x
  2. Step 2: Convert to fraction form
    647,615.43/893,713.20 = 361,153.65/x
  3. Step 3: Cross multiply
    647,615.43x = 893,713.20 × 361,153.65
  4. Step 4: Simplify right side
    647,615.43x = 322,767,784,233.18
  5. Step 5: Solve for x
    x = 322,767,784,233.18/647,615.43
  6. Step 6: Final answer
    x = 498,394.22

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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.