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Finding the Fourth Proportional to 521,538.48, 782,268.84 and 166,590

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Solution

The fourth proportional to 521,538.48, 782,268.84 and 166,590 is: 249,872.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,538.48 : 782,268.84 = 166,590 : x
  2. Step 2: Convert to fraction form
    521,538.48/782,268.84 = 166,590/x
  3. Step 3: Cross multiply
    521,538.48x = 782,268.84 × 166,590
  4. Step 4: Simplify right side
    521,538.48x = 130,318,166,055.60
  5. Step 5: Solve for x
    x = 130,318,166,055.60/521,538.48
  6. Step 6: Final answer
    x = 249,872.58

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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.