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Finding the Fourth Proportional to 276,315.92, 413,931.50 and 143,283.14

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Solution

The fourth proportional to 276,315.92, 413,931.50 and 143,283.14 is: 214,643.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,315.92 : 413,931.50 = 143,283.14 : x
  2. Step 2: Convert to fraction form
    276,315.92/413,931.50 = 143,283.14/x
  3. Step 3: Cross multiply
    276,315.92x = 413,931.50 × 143,283.14
  4. Step 4: Simplify right side
    276,315.92x = 59,309,405,064.91
  5. Step 5: Solve for x
    x = 59,309,405,064.91/276,315.92
  6. Step 6: Final answer
    x = 214,643.46

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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.