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Finding the Fourth Proportional to 299,347.50, 448,782.81 and 172,844.30

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Solution

The fourth proportional to 299,347.50, 448,782.81 and 172,844.30 is: 259,128.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,347.50 : 448,782.81 = 172,844.30 : x
  2. Step 2: Convert to fraction form
    299,347.50/448,782.81 = 172,844.30/x
  3. Step 3: Cross multiply
    299,347.50x = 448,782.81 × 172,844.30
  4. Step 4: Simplify right side
    299,347.50x = 77,569,548,402.57
  5. Step 5: Solve for x
    x = 77,569,548,402.57/299,347.50
  6. Step 6: Final answer
    x = 259,128.77

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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.