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Finding the Fourth Proportional to 343,875.52, 515,647.36 and 144,142.28

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Solution

The fourth proportional to 343,875.52, 515,647.36 and 144,142.28 is: 216,143.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,875.52 : 515,647.36 = 144,142.28 : x
  2. Step 2: Convert to fraction form
    343,875.52/515,647.36 = 144,142.28/x
  3. Step 3: Cross multiply
    343,875.52x = 515,647.36 × 144,142.28
  4. Step 4: Simplify right side
    343,875.52x = 74,326,586,146.38
  5. Step 5: Solve for x
    x = 74,326,586,146.38/343,875.52
  6. Step 6: Final answer
    x = 216,143.87

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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.