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Finding the Fourth Proportional to 343,215.63, 514,964.79 and 150,991.29

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Solution

The fourth proportional to 343,215.63, 514,964.79 and 150,991.29 is: 226,549.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,215.63 : 514,964.79 = 150,991.29 : x
  2. Step 2: Convert to fraction form
    343,215.63/514,964.79 = 150,991.29/x
  3. Step 3: Cross multiply
    343,215.63x = 514,964.79 × 150,991.29
  4. Step 4: Simplify right side
    343,215.63x = 77,755,197,946.68
  5. Step 5: Solve for x
    x = 77,755,197,946.68/343,215.63
  6. Step 6: Final answer
    x = 226,549.12

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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.