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Finding the Fourth Proportional to 257,978.70, 355,998.62 and 143,264.60

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Solution

The fourth proportional to 257,978.70, 355,998.62 and 143,264.60 is: 197,698.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,978.70 : 355,998.62 = 143,264.60 : x
  2. Step 2: Convert to fraction form
    257,978.70/355,998.62 = 143,264.60/x
  3. Step 3: Cross multiply
    257,978.70x = 355,998.62 × 143,264.60
  4. Step 4: Simplify right side
    257,978.70x = 51,001,999,894.85
  5. Step 5: Solve for x
    x = 51,001,999,894.85/257,978.70
  6. Step 6: Final answer
    x = 197,698.49

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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.