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Finding the Fourth Proportional to 299,178.40, 448,670.40 and 99,464.80

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Solution

The fourth proportional to 299,178.40, 448,670.40 and 99,464.80 is: 149,164.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,178.40 : 448,670.40 = 99,464.80 : x
  2. Step 2: Convert to fraction form
    299,178.40/448,670.40 = 99,464.80/x
  3. Step 3: Cross multiply
    299,178.40x = 448,670.40 × 99,464.80
  4. Step 4: Simplify right side
    299,178.40x = 44,626,911,601.92
  5. Step 5: Solve for x
    x = 44,626,911,601.92/299,178.40
  6. Step 6: Final answer
    x = 149,164.88

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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.