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Finding the Fourth Proportional to 257,443.59, 355,293.13 and 142,758.19

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Solution

The fourth proportional to 257,443.59, 355,293.13 and 142,758.19 is: 197,017.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,443.59 : 355,293.13 = 142,758.19 : x
  2. Step 2: Convert to fraction form
    257,443.59/355,293.13 = 142,758.19/x
  3. Step 3: Cross multiply
    257,443.59x = 355,293.13 × 142,758.19
  4. Step 4: Simplify right side
    257,443.59x = 50,721,004,162.94
  5. Step 5: Solve for x
    x = 50,721,004,162.94/257,443.59
  6. Step 6: Final answer
    x = 197,017.94

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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.