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Finding the Fourth Proportional to 998,948, 1,498,423.44 and 407,972

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Solution

The fourth proportional to 998,948, 1,498,423.44 and 407,972 is: 611,958.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    998,948 : 1,498,423.44 = 407,972 : x
  2. Step 2: Convert to fraction form
    998,948/1,498,423.44 = 407,972/x
  3. Step 3: Cross multiply
    998,948x = 1,498,423.44 × 407,972
  4. Step 4: Simplify right side
    998,948x = 611,314,807,663.68
  5. Step 5: Solve for x
    x = 611,314,807,663.68/998,948
  6. Step 6: Final answer
    x = 611,958.59

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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.