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Finding the Fourth Proportional to 257,713.05, 355,663.49 and 143,013.41

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Solution

The fourth proportional to 257,713.05, 355,663.49 and 143,013.41 is: 197,369.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,713.05 : 355,663.49 = 143,013.41 : x
  2. Step 2: Convert to fraction form
    257,713.05/355,663.49 = 143,013.41/x
  3. Step 3: Cross multiply
    257,713.05x = 355,663.49 × 143,013.41
  4. Step 4: Simplify right side
    257,713.05x = 50,864,646,024.02
  5. Step 5: Solve for x
    x = 50,864,646,024.02/257,713.05
  6. Step 6: Final answer
    x = 197,369.31

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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.