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Finding the Fourth Proportional to 298,947.24, 448,419.24 and 128,143.80

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Solution

The fourth proportional to 298,947.24, 448,419.24 and 128,143.80 is: 192,215.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,947.24 : 448,419.24 = 128,143.80 : x
  2. Step 2: Convert to fraction form
    298,947.24/448,419.24 = 128,143.80/x
  3. Step 3: Cross multiply
    298,947.24x = 448,419.24 × 128,143.80
  4. Step 4: Simplify right side
    298,947.24x = 57,462,145,406.71
  5. Step 5: Solve for x
    x = 57,462,145,406.71/298,947.24
  6. Step 6: Final answer
    x = 192,215.01

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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.