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Finding the Fourth Proportional to 518,911.20, 778,366.80 and 144,934.20

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Solution

The fourth proportional to 518,911.20, 778,366.80 and 144,934.20 is: 217,401.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,911.20 : 778,366.80 = 144,934.20 : x
  2. Step 2: Convert to fraction form
    518,911.20/778,366.80 = 144,934.20/x
  3. Step 3: Cross multiply
    518,911.20x = 778,366.80 × 144,934.20
  4. Step 4: Simplify right side
    518,911.20x = 112,811,969,464.56
  5. Step 5: Solve for x
    x = 112,811,969,464.56/518,911.20
  6. Step 6: Final answer
    x = 217,401.30

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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.