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Finding the Fourth Proportional to 515,578.32, 773,673.66 and 278,915.76

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Solution

The fourth proportional to 515,578.32, 773,673.66 and 278,915.76 is: 418,539.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,578.32 : 773,673.66 = 278,915.76 : x
  2. Step 2: Convert to fraction form
    515,578.32/773,673.66 = 278,915.76/x
  3. Step 3: Cross multiply
    515,578.32x = 773,673.66 × 278,915.76
  4. Step 4: Simplify right side
    515,578.32x = 215,789,776,870.88
  5. Step 5: Solve for x
    x = 215,789,776,870.88/515,578.32
  6. Step 6: Final answer
    x = 418,539.28

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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.