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Finding the Fourth Proportional to 410,972.12, 566,981.34 and 257,921

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Solution

The fourth proportional to 410,972.12, 566,981.34 and 257,921 is: 355,830.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,972.12 : 566,981.34 = 257,921 : x
  2. Step 2: Convert to fraction form
    410,972.12/566,981.34 = 257,921/x
  3. Step 3: Cross multiply
    410,972.12x = 566,981.34 × 257,921
  4. Step 4: Simplify right side
    410,972.12x = 146,236,394,194.14
  5. Step 5: Solve for x
    x = 146,236,394,194.14/410,972.12
  6. Step 6: Final answer
    x = 355,830.45

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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.