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Finding the Fourth Proportional to 502,987.84, 694,124.32 and 276,628.80

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Solution

The fourth proportional to 502,987.84, 694,124.32 and 276,628.80 is: 381,748.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,987.84 : 694,124.32 = 276,628.80 : x
  2. Step 2: Convert to fraction form
    502,987.84/694,124.32 = 276,628.80/x
  3. Step 3: Cross multiply
    502,987.84x = 694,124.32 × 276,628.80
  4. Step 4: Simplify right side
    502,987.84x = 192,014,777,692.42
  5. Step 5: Solve for x
    x = 192,014,777,692.42/502,987.84
  6. Step 6: Final answer
    x = 381,748.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.