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Finding the Fourth Proportional to 521,515.12, 782,266.08 and 166,524.64

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Solution

The fourth proportional to 521,515.12, 782,266.08 and 166,524.64 is: 249,784.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,515.12 : 782,266.08 = 166,524.64 : x
  2. Step 2: Convert to fraction form
    521,515.12/782,266.08 = 166,524.64/x
  3. Step 3: Cross multiply
    521,515.12x = 782,266.08 × 166,524.64
  4. Step 4: Simplify right side
    521,515.12x = 130,266,577,356.21
  5. Step 5: Solve for x
    x = 130,266,577,356.21/521,515.12
  6. Step 6: Final answer
    x = 249,784.85

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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.