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Finding the Fourth Proportional to 299,420.32, 413,182.50 and 163,427.32

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Solution

The fourth proportional to 299,420.32, 413,182.50 and 163,427.32 is: 225,520.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,420.32 : 413,182.50 = 163,427.32 : x
  2. Step 2: Convert to fraction form
    299,420.32/413,182.50 = 163,427.32/x
  3. Step 3: Cross multiply
    299,420.32x = 413,182.50 × 163,427.32
  4. Step 4: Simplify right side
    299,420.32x = 67,525,308,645.90
  5. Step 5: Solve for x
    x = 67,525,308,645.90/299,420.32
  6. Step 6: Final answer
    x = 225,520.13

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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.