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Finding the Fourth Proportional to 343,616.23, 514,898.28 and 143,827.84

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Solution

The fourth proportional to 343,616.23, 514,898.28 and 143,827.84 is: 215,521.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,616.23 : 514,898.28 = 143,827.84 : x
  2. Step 2: Convert to fraction form
    343,616.23/514,898.28 = 143,827.84/x
  3. Step 3: Cross multiply
    343,616.23x = 514,898.28 × 143,827.84
  4. Step 4: Simplify right side
    343,616.23x = 74,056,707,432.12
  5. Step 5: Solve for x
    x = 74,056,707,432.12/343,616.23
  6. Step 6: Final answer
    x = 215,521.56

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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.