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Finding the Fourth Proportional to 299,127.74, 448,987.20 and 130,764.28

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Solution

The fourth proportional to 299,127.74, 448,987.20 and 130,764.28 is: 196,275.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,127.74 : 448,987.20 = 130,764.28 : x
  2. Step 2: Convert to fraction form
    299,127.74/448,987.20 = 130,764.28/x
  3. Step 3: Cross multiply
    299,127.74x = 448,987.20 × 130,764.28
  4. Step 4: Simplify right side
    299,127.74x = 58,711,487,937.22
  5. Step 5: Solve for x
    x = 58,711,487,937.22/299,127.74
  6. Step 6: Final answer
    x = 196,275.64

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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.