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Finding the Fourth Proportional to 518,953.76, 778,535.70 and 219,433.82

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Solution

The fourth proportional to 518,953.76, 778,535.70 and 219,433.82 is: 329,195.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,953.76 : 778,535.70 = 219,433.82 : x
  2. Step 2: Convert to fraction form
    518,953.76/778,535.70 = 219,433.82/x
  3. Step 3: Cross multiply
    518,953.76x = 778,535.70 × 219,433.82
  4. Step 4: Simplify right side
    518,953.76x = 170,837,062,657.37
  5. Step 5: Solve for x
    x = 170,837,062,657.37/518,953.76
  6. Step 6: Final answer
    x = 329,195.15

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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.