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Finding the Fourth Proportional to 262,742, 362,585.40 and 143,510

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Solution

The fourth proportional to 262,742, 362,585.40 and 143,510 is: 198,044.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,742 : 362,585.40 = 143,510 : x
  2. Step 2: Convert to fraction form
    262,742/362,585.40 = 143,510/x
  3. Step 3: Cross multiply
    262,742x = 362,585.40 × 143,510
  4. Step 4: Simplify right side
    262,742x = 52,034,630,754
  5. Step 5: Solve for x
    x = 52,034,630,754/262,742
  6. Step 6: Final answer
    x = 198,044.59

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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.