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Finding the Fourth Proportional to 257,015.46, 354,682.08 and 143,838.21

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Solution

The fourth proportional to 257,015.46, 354,682.08 and 143,838.21 is: 198,497.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,015.46 : 354,682.08 = 143,838.21 : x
  2. Step 2: Convert to fraction form
    257,015.46/354,682.08 = 143,838.21/x
  3. Step 3: Cross multiply
    257,015.46x = 354,682.08 × 143,838.21
  4. Step 4: Simplify right side
    257,015.46x = 51,016,835,506.28
  5. Step 5: Solve for x
    x = 51,016,835,506.28/257,015.46
  6. Step 6: Final answer
    x = 198,497.15

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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.