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Finding the Fourth Proportional to 654,368.84, 982,078.12 and 338,915.96

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Solution

The fourth proportional to 654,368.84, 982,078.12 and 338,915.96 is: 508,645.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,368.84 : 982,078.12 = 338,915.96 : x
  2. Step 2: Convert to fraction form
    654,368.84/982,078.12 = 338,915.96/x
  3. Step 3: Cross multiply
    654,368.84x = 982,078.12 × 338,915.96
  4. Step 4: Simplify right side
    654,368.84x = 332,841,948,834.80
  5. Step 5: Solve for x
    x = 332,841,948,834.80/654,368.84
  6. Step 6: Final answer
    x = 508,645.78

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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.