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Finding the Fourth Proportional to 518,611, 778,047.78 and 144,634

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Solution

The fourth proportional to 518,611, 778,047.78 and 144,634 is: 216,987.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,611 : 778,047.78 = 144,634 : x
  2. Step 2: Convert to fraction form
    518,611/778,047.78 = 144,634/x
  3. Step 3: Cross multiply
    518,611x = 778,047.78 × 144,634
  4. Step 4: Simplify right side
    518,611x = 112,532,162,612.52
  5. Step 5: Solve for x
    x = 112,532,162,612.52/518,611
  6. Step 6: Final answer
    x = 216,987.61

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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.