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Finding the Fourth Proportional to 321,073.04, 442,894.56 and 207,898.22

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Solution

The fourth proportional to 321,073.04, 442,894.56 and 207,898.22 is: 286,778.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,073.04 : 442,894.56 = 207,898.22 : x
  2. Step 2: Convert to fraction form
    321,073.04/442,894.56 = 207,898.22/x
  3. Step 3: Cross multiply
    321,073.04x = 442,894.56 × 207,898.22
  4. Step 4: Simplify right side
    321,073.04x = 92,076,990,671.68
  5. Step 5: Solve for x
    x = 92,076,990,671.68/321,073.04
  6. Step 6: Final answer
    x = 286,778.95

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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.