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Finding the Fourth Proportional to 521,570.40, 782,452.80 and 166,685.10

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Solution

The fourth proportional to 521,570.40, 782,452.80 and 166,685.10 is: 250,058.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,570.40 : 782,452.80 = 166,685.10 : x
  2. Step 2: Convert to fraction form
    521,570.40/782,452.80 = 166,685.10/x
  3. Step 3: Cross multiply
    521,570.40x = 782,452.80 × 166,685.10
  4. Step 4: Simplify right side
    521,570.40x = 130,423,223,213.28
  5. Step 5: Solve for x
    x = 130,423,223,213.28/521,570.40
  6. Step 6: Final answer
    x = 250,058.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.