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Finding the Fourth Proportional to 257,031.94, 354,700.41 and 142,299.58

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Solution

The fourth proportional to 257,031.94, 354,700.41 and 142,299.58 is: 196,371.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,031.94 : 354,700.41 = 142,299.58 : x
  2. Step 2: Convert to fraction form
    257,031.94/354,700.41 = 142,299.58/x
  3. Step 3: Cross multiply
    257,031.94x = 354,700.41 × 142,299.58
  4. Step 4: Simplify right side
    257,031.94x = 50,473,719,368.83
  5. Step 5: Solve for x
    x = 50,473,719,368.83/257,031.94
  6. Step 6: Final answer
    x = 196,371.39

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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.