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Finding the Fourth Proportional to 257,539.68, 355,394.84 and 142,823.04

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Solution

The fourth proportional to 257,539.68, 355,394.84 and 142,823.04 is: 197,090.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,539.68 : 355,394.84 = 142,823.04 : x
  2. Step 2: Convert to fraction form
    257,539.68/355,394.84 = 142,823.04/x
  3. Step 3: Cross multiply
    257,539.68x = 355,394.84 × 142,823.04
  4. Step 4: Simplify right side
    257,539.68x = 50,758,571,449.11
  5. Step 5: Solve for x
    x = 50,758,571,449.11/257,539.68
  6. Step 6: Final answer
    x = 197,090.29

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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.