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Finding the Fourth Proportional to 911,201.40, 1,366,802.10 and 280,114.20

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Solution

The fourth proportional to 911,201.40, 1,366,802.10 and 280,114.20 is: 420,171.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    911,201.40 : 1,366,802.10 = 280,114.20 : x
  2. Step 2: Convert to fraction form
    911,201.40/1,366,802.10 = 280,114.20/x
  3. Step 3: Cross multiply
    911,201.40x = 1,366,802.10 × 280,114.20
  4. Step 4: Simplify right side
    911,201.40x = 382,860,676,799.82
  5. Step 5: Solve for x
    x = 382,860,676,799.82/911,201.40
  6. Step 6: Final answer
    x = 420,171.30

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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.