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Finding the Fourth Proportional to 299,278.40, 412,991.33 and 163,308.96

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Solution

The fourth proportional to 299,278.40, 412,991.33 and 163,308.96 is: 225,359.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,278.40 : 412,991.33 = 163,308.96 : x
  2. Step 2: Convert to fraction form
    299,278.40/412,991.33 = 163,308.96/x
  3. Step 3: Cross multiply
    299,278.40x = 412,991.33 × 163,308.96
  4. Step 4: Simplify right side
    299,278.40x = 67,445,183,774.77
  5. Step 5: Solve for x
    x = 67,445,183,774.77/299,278.40
  6. Step 6: Final answer
    x = 225,359.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.