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Finding the Fourth Proportional to 299,421.32, 413,183.88 and 163,428.32

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Solution

The fourth proportional to 299,421.32, 413,183.88 and 163,428.32 is: 225,521.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,421.32 : 413,183.88 = 163,428.32 : x
  2. Step 2: Convert to fraction form
    299,421.32/413,183.88 = 163,428.32/x
  3. Step 3: Cross multiply
    299,421.32x = 413,183.88 × 163,428.32
  4. Step 4: Simplify right side
    299,421.32x = 67,525,947,359.48
  5. Step 5: Solve for x
    x = 67,525,947,359.48/299,421.32
  6. Step 6: Final answer
    x = 225,521.51

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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.