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Finding the Fourth Proportional to 971,352, 1,340,465.76 and 568,944

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Solution

The fourth proportional to 971,352, 1,340,465.76 and 568,944 is: 785,142.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,352 : 1,340,465.76 = 568,944 : x
  2. Step 2: Convert to fraction form
    971,352/1,340,465.76 = 568,944/x
  3. Step 3: Cross multiply
    971,352x = 1,340,465.76 × 568,944
  4. Step 4: Simplify right side
    971,352x = 762,649,951,357.44
  5. Step 5: Solve for x
    x = 762,649,951,357.44/971,352
  6. Step 6: Final answer
    x = 785,142.72

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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.