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Finding the Fourth Proportional to 276,013.80, 413,729.10 and 157,429.80

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Solution

The fourth proportional to 276,013.80, 413,729.10 and 157,429.80 is: 235,978.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,013.80 : 413,729.10 = 157,429.80 : x
  2. Step 2: Convert to fraction form
    276,013.80/413,729.10 = 157,429.80/x
  3. Step 3: Cross multiply
    276,013.80x = 413,729.10 × 157,429.80
  4. Step 4: Simplify right side
    276,013.80x = 65,133,289,467.18
  5. Step 5: Solve for x
    x = 65,133,289,467.18/276,013.80
  6. Step 6: Final answer
    x = 235,978.38

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1.5x scale

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.