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Finding the Fourth Proportional to 341,613.30, 512,143 and 142,083.06

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Solution

The fourth proportional to 341,613.30, 512,143 and 142,083.06 is: 213,009.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,613.30 : 512,143 = 142,083.06 : x
  2. Step 2: Convert to fraction form
    341,613.30/512,143 = 142,083.06/x
  3. Step 3: Cross multiply
    341,613.30x = 512,143 × 142,083.06
  4. Step 4: Simplify right side
    341,613.30x = 72,766,844,597.58
  5. Step 5: Solve for x
    x = 72,766,844,597.58/341,613.30
  6. Step 6: Final answer
    x = 213,009.40

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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.