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Finding the Fourth Proportional to 200,429.40, 276,615.90 and 115,549.50

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Solution

The fourth proportional to 200,429.40, 276,615.90 and 115,549.50 is: 159,471.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,429.40 : 276,615.90 = 115,549.50 : x
  2. Step 2: Convert to fraction form
    200,429.40/276,615.90 = 115,549.50/x
  3. Step 3: Cross multiply
    200,429.40x = 276,615.90 × 115,549.50
  4. Step 4: Simplify right side
    200,429.40x = 31,962,828,937.05
  5. Step 5: Solve for x
    x = 31,962,828,937.05/200,429.40
  6. Step 6: Final answer
    x = 159,471.76

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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.