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Finding the Fourth Proportional to 262,820, 362,691.60 and 143,588

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Solution

The fourth proportional to 262,820, 362,691.60 and 143,588 is: 198,151.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,820 : 362,691.60 = 143,588 : x
  2. Step 2: Convert to fraction form
    262,820/362,691.60 = 143,588/x
  3. Step 3: Cross multiply
    262,820x = 362,691.60 × 143,588
  4. Step 4: Simplify right side
    262,820x = 52,078,161,460.80
  5. Step 5: Solve for x
    x = 52,078,161,460.80/262,820
  6. Step 6: Final answer
    x = 198,151.44

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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.