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Finding the Fourth Proportional to 257,231.02, 354,978.84 and 144,053.76

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Solution

The fourth proportional to 257,231.02, 354,978.84 and 144,053.76 is: 198,794.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,231.02 : 354,978.84 = 144,053.76 : x
  2. Step 2: Convert to fraction form
    257,231.02/354,978.84 = 144,053.76/x
  3. Step 3: Cross multiply
    257,231.02x = 354,978.84 × 144,053.76
  4. Step 4: Simplify right side
    257,231.02x = 51,136,036,622.44
  5. Step 5: Solve for x
    x = 51,136,036,622.44/257,231.02
  6. Step 6: Final answer
    x = 198,794.21

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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.