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Finding the Fourth Proportional to 519,673.20, 777,781.80 and 377,113.20

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Solution

The fourth proportional to 519,673.20, 777,781.80 and 377,113.20 is: 564,415.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,673.20 : 777,781.80 = 377,113.20 : x
  2. Step 2: Convert to fraction form
    519,673.20/777,781.80 = 377,113.20/x
  3. Step 3: Cross multiply
    519,673.20x = 777,781.80 × 377,113.20
  4. Step 4: Simplify right side
    519,673.20x = 293,311,783,499.76
  5. Step 5: Solve for x
    x = 293,311,783,499.76/519,673.20
  6. Step 6: Final answer
    x = 564,415.84

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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.