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Finding the Fourth Proportional to 998,940, 1,498,411.44 and 407,964

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Solution

The fourth proportional to 998,940, 1,498,411.44 and 407,964 is: 611,946.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    998,940 : 1,498,411.44 = 407,964 : x
  2. Step 2: Convert to fraction form
    998,940/1,498,411.44 = 407,964/x
  3. Step 3: Cross multiply
    998,940x = 1,498,411.44 × 407,964
  4. Step 4: Simplify right side
    998,940x = 611,297,924,708.16
  5. Step 5: Solve for x
    x = 611,297,924,708.16/998,940
  6. Step 6: Final answer
    x = 611,946.59

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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.