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Finding the Fourth Proportional to 515,944.48, 774,215.52 and 216,398.40

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Solution

The fourth proportional to 515,944.48, 774,215.52 and 216,398.40 is: 324,722.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,944.48 : 774,215.52 = 216,398.40 : x
  2. Step 2: Convert to fraction form
    515,944.48/774,215.52 = 216,398.40/x
  3. Step 3: Cross multiply
    515,944.48x = 774,215.52 × 216,398.40
  4. Step 4: Simplify right side
    515,944.48x = 167,538,999,783.17
  5. Step 5: Solve for x
    x = 167,538,999,783.17/515,944.48
  6. Step 6: Final answer
    x = 324,722.92

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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.