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Finding the Fourth Proportional to 257,626.32, 355,531.32 and 144,446.64

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Solution

The fourth proportional to 257,626.32, 355,531.32 and 144,446.64 is: 199,340.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,626.32 : 355,531.32 = 144,446.64 : x
  2. Step 2: Convert to fraction form
    257,626.32/355,531.32 = 144,446.64/x
  3. Step 3: Cross multiply
    257,626.32x = 355,531.32 × 144,446.64
  4. Step 4: Simplify right side
    257,626.32x = 51,355,304,588.76
  5. Step 5: Solve for x
    x = 51,355,304,588.76/257,626.32
  6. Step 6: Final answer
    x = 199,340.29

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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.