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Finding the Fourth Proportional to 971,407, 1,340,541.66 and 568,999

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Solution

The fourth proportional to 971,407, 1,340,541.66 and 568,999 is: 785,218.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,407 : 1,340,541.66 = 568,999 : x
  2. Step 2: Convert to fraction form
    971,407/1,340,541.66 = 568,999/x
  3. Step 3: Cross multiply
    971,407x = 1,340,541.66 × 568,999
  4. Step 4: Simplify right side
    971,407x = 762,766,863,998.34
  5. Step 5: Solve for x
    x = 762,766,863,998.34/971,407
  6. Step 6: Final answer
    x = 785,218.62

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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.