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Finding the Fourth Proportional to 299,385.20, 448,421.70 and 260,019.20

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Solution

The fourth proportional to 299,385.20, 448,421.70 and 260,019.20 is: 389,458.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,385.20 : 448,421.70 = 260,019.20 : x
  2. Step 2: Convert to fraction form
    299,385.20/448,421.70 = 260,019.20/x
  3. Step 3: Cross multiply
    299,385.20x = 448,421.70 × 260,019.20
  4. Step 4: Simplify right side
    299,385.20x = 116,598,251,696.64
  5. Step 5: Solve for x
    x = 116,598,251,696.64/299,385.20
  6. Step 6: Final answer
    x = 389,458.97

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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.