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Finding the Fourth Proportional to 299,885.20, 413,852.64 and 163,928.20

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Solution

The fourth proportional to 299,885.20, 413,852.64 and 163,928.20 is: 226,226.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,885.20 : 413,852.64 = 163,928.20 : x
  2. Step 2: Convert to fraction form
    299,885.20/413,852.64 = 163,928.20/x
  3. Step 3: Cross multiply
    299,885.20x = 413,852.64 × 163,928.20
  4. Step 4: Simplify right side
    299,885.20x = 67,842,118,340.45
  5. Step 5: Solve for x
    x = 67,842,118,340.45/299,885.20
  6. Step 6: Final answer
    x = 226,226.96

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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.