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Finding the Fourth Proportional to 257,801.10, 355,767.94 and 144,626.28

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Solution

The fourth proportional to 257,801.10, 355,767.94 and 144,626.28 is: 199,585.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,801.10 : 355,767.94 = 144,626.28 : x
  2. Step 2: Convert to fraction form
    257,801.10/355,767.94 = 144,626.28/x
  3. Step 3: Cross multiply
    257,801.10x = 355,767.94 × 144,626.28
  4. Step 4: Simplify right side
    257,801.10x = 51,453,391,926.62
  5. Step 5: Solve for x
    x = 51,453,391,926.62/257,801.10
  6. Step 6: Final answer
    x = 199,585.62

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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.