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Finding the Fourth Proportional to 262,990, 362,926.24 and 143,758

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Solution

The fourth proportional to 262,990, 362,926.24 and 143,758 is: 198,386.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,990 : 362,926.24 = 143,758 : x
  2. Step 2: Convert to fraction form
    262,990/362,926.24 = 143,758/x
  3. Step 3: Cross multiply
    262,990x = 362,926.24 × 143,758
  4. Step 4: Simplify right side
    262,990x = 52,173,550,409.92
  5. Step 5: Solve for x
    x = 52,173,550,409.92/262,990
  6. Step 6: Final answer
    x = 198,386.06

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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.