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Finding the Fourth Proportional to 487,196.96, 729,774.84 and 309,612.56

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Solution

The fourth proportional to 487,196.96, 729,774.84 and 309,612.56 is: 463,770.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,196.96 : 729,774.84 = 309,612.56 : x
  2. Step 2: Convert to fraction form
    487,196.96/729,774.84 = 309,612.56/x
  3. Step 3: Cross multiply
    487,196.96x = 729,774.84 × 309,612.56
  4. Step 4: Simplify right side
    487,196.96x = 225,947,456,435.99
  5. Step 5: Solve for x
    x = 225,947,456,435.99/487,196.96
  6. Step 6: Final answer
    x = 463,770.25

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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.