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Finding the Fourth Proportional to 257,688.90, 355,611.10 and 142,963.94

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Solution

The fourth proportional to 257,688.90, 355,611.10 and 142,963.94 is: 197,290.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,688.90 : 355,611.10 = 142,963.94 : x
  2. Step 2: Convert to fraction form
    257,688.90/355,611.10 = 142,963.94/x
  3. Step 3: Cross multiply
    257,688.90x = 355,611.10 × 142,963.94
  4. Step 4: Simplify right side
    257,688.90x = 50,839,563,963.73
  5. Step 5: Solve for x
    x = 50,839,563,963.73/257,688.90
  6. Step 6: Final answer
    x = 197,290.47

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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.