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Finding the Fourth Proportional to 521,663.88, 782,430.48 and 166,648.44

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Solution

The fourth proportional to 521,663.88, 782,430.48 and 166,648.44 is: 249,951.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,663.88 : 782,430.48 = 166,648.44 : x
  2. Step 2: Convert to fraction form
    521,663.88/782,430.48 = 166,648.44/x
  3. Step 3: Cross multiply
    521,663.88x = 782,430.48 × 166,648.44
  4. Step 4: Simplify right side
    521,663.88x = 130,390,818,900.45
  5. Step 5: Solve for x
    x = 130,390,818,900.45/521,663.88
  6. Step 6: Final answer
    x = 249,951.79

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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.