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Finding the Fourth Proportional to 257,700.96, 355,645.08 and 144,531

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Solution

The fourth proportional to 257,700.96, 355,645.08 and 144,531 is: 199,462.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,700.96 : 355,645.08 = 144,531 : x
  2. Step 2: Convert to fraction form
    257,700.96/355,645.08 = 144,531/x
  3. Step 3: Cross multiply
    257,700.96x = 355,645.08 × 144,531
  4. Step 4: Simplify right side
    257,700.96x = 51,401,739,057.48
  5. Step 5: Solve for x
    x = 51,401,739,057.48/257,700.96
  6. Step 6: Final answer
    x = 199,462.74

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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.