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Finding the Fourth Proportional to 257,230.34, 354,980.34 and 142,511.42

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Solution

The fourth proportional to 257,230.34, 354,980.34 and 142,511.42 is: 196,667.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,230.34 : 354,980.34 = 142,511.42 : x
  2. Step 2: Convert to fraction form
    257,230.34/354,980.34 = 142,511.42/x
  3. Step 3: Cross multiply
    257,230.34x = 354,980.34 × 142,511.42
  4. Step 4: Simplify right side
    257,230.34x = 50,588,752,325.48
  5. Step 5: Solve for x
    x = 50,588,752,325.48/257,230.34
  6. Step 6: Final answer
    x = 196,667.13

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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.