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Finding the Fourth Proportional to 577,250, 865,887.96 and 198,170

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Solution

The fourth proportional to 577,250, 865,887.96 and 198,170 is: 297,259.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,250 : 865,887.96 = 198,170 : x
  2. Step 2: Convert to fraction form
    577,250/865,887.96 = 198,170/x
  3. Step 3: Cross multiply
    577,250x = 865,887.96 × 198,170
  4. Step 4: Simplify right side
    577,250x = 171,593,017,033.20
  5. Step 5: Solve for x
    x = 171,593,017,033.20/577,250
  6. Step 6: Final answer
    x = 297,259.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.