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Finding the Fourth Proportional to 521,805.20, 782,712.60 and 272,973.20

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Solution

The fourth proportional to 521,805.20, 782,712.60 and 272,973.20 is: 409,462.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,805.20 : 782,712.60 = 272,973.20 : x
  2. Step 2: Convert to fraction form
    521,805.20/782,712.60 = 272,973.20/x
  3. Step 3: Cross multiply
    521,805.20x = 782,712.60 × 272,973.20
  4. Step 4: Simplify right side
    521,805.20x = 213,659,563,102.32
  5. Step 5: Solve for x
    x = 213,659,563,102.32/521,805.20
  6. Step 6: Final answer
    x = 409,462.31

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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.