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Finding the Fourth Proportional to 873,305.31, 1,205,063.82 and 491,323.89

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Solution

The fourth proportional to 873,305.31, 1,205,063.82 and 491,323.89 is: 677,972.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,305.31 : 1,205,063.82 = 491,323.89 : x
  2. Step 2: Convert to fraction form
    873,305.31/1,205,063.82 = 491,323.89/x
  3. Step 3: Cross multiply
    873,305.31x = 1,205,063.82 × 491,323.89
  4. Step 4: Simplify right side
    873,305.31x = 592,076,643,740.66
  5. Step 5: Solve for x
    x = 592,076,643,740.66/873,305.31
  6. Step 6: Final answer
    x = 677,972.11

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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.