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Finding the Fourth Proportional to 647,826.84, 894,002.40 and 361,339.56

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Solution

The fourth proportional to 647,826.84, 894,002.40 and 361,339.56 is: 498,649.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,826.84 : 894,002.40 = 361,339.56 : x
  2. Step 2: Convert to fraction form
    647,826.84/894,002.40 = 361,339.56/x
  3. Step 3: Cross multiply
    647,826.84x = 894,002.40 × 361,339.56
  4. Step 4: Simplify right side
    647,826.84x = 323,038,433,854.94
  5. Step 5: Solve for x
    x = 323,038,433,854.94/647,826.84
  6. Step 6: Final answer
    x = 498,649.35

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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.