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Finding the Fourth Proportional to 647,862.90, 894,050.19 and 361,382.82

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Solution

The fourth proportional to 647,862.90, 894,050.19 and 361,382.82 is: 498,707.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,862.90 : 894,050.19 = 361,382.82 : x
  2. Step 2: Convert to fraction form
    647,862.90/894,050.19 = 361,382.82/x
  3. Step 3: Cross multiply
    647,862.90x = 894,050.19 × 361,382.82
  4. Step 4: Simplify right side
    647,862.90x = 323,094,378,883.74
  5. Step 5: Solve for x
    x = 323,094,378,883.74/647,862.90
  6. Step 6: Final answer
    x = 498,707.95

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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.