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Finding the Fourth Proportional to 299,722.24, 449,432.32 and 99,973.12

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Solution

The fourth proportional to 299,722.24, 449,432.32 and 99,973.12 is: 149,909.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,722.24 : 449,432.32 = 99,973.12 : x
  2. Step 2: Convert to fraction form
    299,722.24/449,432.32 = 99,973.12/x
  3. Step 3: Cross multiply
    299,722.24x = 449,432.32 × 99,973.12
  4. Step 4: Simplify right side
    299,722.24x = 44,931,151,259.24
  5. Step 5: Solve for x
    x = 44,931,151,259.24/299,722.24
  6. Step 6: Final answer
    x = 149,909.30

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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.