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Finding the Fourth Proportional to 930,964, 1,396,446 and 339,988

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Solution

The fourth proportional to 930,964, 1,396,446 and 339,988 is: 509,982

Step by Step Solution

  1. Step 1: Write the proportion equation
    930,964 : 1,396,446 = 339,988 : x
  2. Step 2: Convert to fraction form
    930,964/1,396,446 = 339,988/x
  3. Step 3: Cross multiply
    930,964x = 1,396,446 × 339,988
  4. Step 4: Simplify right side
    930,964x = 474,774,882,648
  5. Step 5: Solve for x
    x = 474,774,882,648/930,964
  6. Step 6: Final answer
    x = 509,982

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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.