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Finding the Fourth Proportional to 257,305.56, 355,081.68 and 144,128.30

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Solution

The fourth proportional to 257,305.56, 355,081.68 and 144,128.30 is: 198,897.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,305.56 : 355,081.68 = 144,128.30 : x
  2. Step 2: Convert to fraction form
    257,305.56/355,081.68 = 144,128.30/x
  3. Step 3: Cross multiply
    257,305.56x = 355,081.68 × 144,128.30
  4. Step 4: Simplify right side
    257,305.56x = 51,177,318,899.54
  5. Step 5: Solve for x
    x = 51,177,318,899.54/257,305.56
  6. Step 6: Final answer
    x = 198,897.06

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1.5x scale

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.