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Finding the Fourth Proportional to 257,215.92, 354,972.72 and 144,037.68

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Solution

The fourth proportional to 257,215.92, 354,972.72 and 144,037.68 is: 198,780.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,215.92 : 354,972.72 = 144,037.68 : x
  2. Step 2: Convert to fraction form
    257,215.92/354,972.72 = 144,037.68/x
  3. Step 3: Cross multiply
    257,215.92x = 354,972.72 × 144,037.68
  4. Step 4: Simplify right side
    257,215.92x = 51,129,447,052.09
  5. Step 5: Solve for x
    x = 51,129,447,052.09/257,215.92
  6. Step 6: Final answer
    x = 198,780.26

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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.