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Finding the Fourth Proportional to 257,970.72, 355,989.32 and 143,255.28

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Solution

The fourth proportional to 257,970.72, 355,989.32 and 143,255.28 is: 197,686.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,970.72 : 355,989.32 = 143,255.28 : x
  2. Step 2: Convert to fraction form
    257,970.72/355,989.32 = 143,255.28/x
  3. Step 3: Cross multiply
    257,970.72x = 355,989.32 × 143,255.28
  4. Step 4: Simplify right side
    257,970.72x = 50,997,349,713.61
  5. Step 5: Solve for x
    x = 50,997,349,713.61/257,970.72
  6. Step 6: Final answer
    x = 197,686.58

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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.