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Finding the Fourth Proportional to 519,386.16, 780,449.20 and 279,677.30

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Solution

The fourth proportional to 519,386.16, 780,449.20 and 279,677.30 is: 420,253.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,386.16 : 780,449.20 = 279,677.30 : x
  2. Step 2: Convert to fraction form
    519,386.16/780,449.20 = 279,677.30/x
  3. Step 3: Cross multiply
    519,386.16x = 780,449.20 × 279,677.30
  4. Step 4: Simplify right side
    519,386.16x = 218,273,920,441.72
  5. Step 5: Solve for x
    x = 218,273,920,441.72/519,386.16
  6. Step 6: Final answer
    x = 420,253.63

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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.