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Finding the Fourth Proportional to 971,642, 1,340,982.96 and 569,234

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Solution

The fourth proportional to 971,642, 1,340,982.96 and 569,234 is: 785,611.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,642 : 1,340,982.96 = 569,234 : x
  2. Step 2: Convert to fraction form
    971,642/1,340,982.96 = 569,234/x
  3. Step 3: Cross multiply
    971,642x = 1,340,982.96 × 569,234
  4. Step 4: Simplify right side
    971,642x = 763,333,094,252.64
  5. Step 5: Solve for x
    x = 763,333,094,252.64/971,642
  6. Step 6: Final answer
    x = 785,611.46

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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.