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Finding the Fourth Proportional to 257,644.89, 355,549.64 and 142,940.93

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Solution

The fourth proportional to 257,644.89, 355,549.64 and 142,940.93 is: 197,258.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,644.89 : 355,549.64 = 142,940.93 : x
  2. Step 2: Convert to fraction form
    257,644.89/355,549.64 = 142,940.93/x
  3. Step 3: Cross multiply
    257,644.89x = 355,549.64 × 142,940.93
  4. Step 4: Simplify right side
    257,644.89x = 50,822,593,710.31
  5. Step 5: Solve for x
    x = 50,822,593,710.31/257,644.89
  6. Step 6: Final answer
    x = 197,258.30

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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.