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Finding the Fourth Proportional to 257,551.29, 355,406.27 and 150,138.81

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Solution

The fourth proportional to 257,551.29, 355,406.27 and 150,138.81 is: 207,183.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,551.29 : 355,406.27 = 150,138.81 : x
  2. Step 2: Convert to fraction form
    257,551.29/355,406.27 = 150,138.81/x
  3. Step 3: Cross multiply
    257,551.29x = 355,406.27 × 150,138.81
  4. Step 4: Simplify right side
    257,551.29x = 53,360,273,693.64
  5. Step 5: Solve for x
    x = 53,360,273,693.64/257,551.29
  6. Step 6: Final answer
    x = 207,183.10

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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.