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Finding the Fourth Proportional to 299,306.10, 448,959.15 and 141,842.10

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Solution

The fourth proportional to 299,306.10, 448,959.15 and 141,842.10 is: 212,763.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,306.10 : 448,959.15 = 141,842.10 : x
  2. Step 2: Convert to fraction form
    299,306.10/448,959.15 = 141,842.10/x
  3. Step 3: Cross multiply
    299,306.10x = 448,959.15 × 141,842.10
  4. Step 4: Simplify right side
    299,306.10x = 63,681,308,650.22
  5. Step 5: Solve for x
    x = 63,681,308,650.22/299,306.10
  6. Step 6: Final answer
    x = 212,763.15

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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.