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Finding the Fourth Proportional to 257,280, 355,046.40 and 144,102.48

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Solution

The fourth proportional to 257,280, 355,046.40 and 144,102.48 is: 198,861.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,280 : 355,046.40 = 144,102.48 : x
  2. Step 2: Convert to fraction form
    257,280/355,046.40 = 144,102.48/x
  3. Step 3: Cross multiply
    257,280x = 355,046.40 × 144,102.48
  4. Step 4: Simplify right side
    257,280x = 51,163,066,755.07
  5. Step 5: Solve for x
    x = 51,163,066,755.07/257,280
  6. Step 6: Final answer
    x = 198,861.42

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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.