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Finding the Fourth Proportional to 257,572.41, 355,449.92 and 144,395.16

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Solution

The fourth proportional to 257,572.41, 355,449.92 and 144,395.16 is: 199,265.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,572.41 : 355,449.92 = 144,395.16 : x
  2. Step 2: Convert to fraction form
    257,572.41/355,449.92 = 144,395.16/x
  3. Step 3: Cross multiply
    257,572.41x = 355,449.92 × 144,395.16
  4. Step 4: Simplify right side
    257,572.41x = 51,325,246,827.70
  5. Step 5: Solve for x
    x = 51,325,246,827.70/257,572.41
  6. Step 6: Final answer
    x = 199,265.32

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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.