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Finding the Fourth Proportional to 384,854.57, 531,083.61 and 212,761.58

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Solution

The fourth proportional to 384,854.57, 531,083.61 and 212,761.58 is: 293,602.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,854.57 : 531,083.61 = 212,761.58 : x
  2. Step 2: Convert to fraction form
    384,854.57/531,083.61 = 212,761.58/x
  3. Step 3: Cross multiply
    384,854.57x = 531,083.61 × 212,761.58
  4. Step 4: Simplify right side
    384,854.57x = 112,994,186,913.95
  5. Step 5: Solve for x
    x = 112,994,186,913.95/384,854.57
  6. Step 6: Final answer
    x = 293,602.30

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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.