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Finding the Fourth Proportional to 518,622, 778,064.28 and 144,645

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Solution

The fourth proportional to 518,622, 778,064.28 and 144,645 is: 217,004.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,622 : 778,064.28 = 144,645 : x
  2. Step 2: Convert to fraction form
    518,622/778,064.28 = 144,645/x
  3. Step 3: Cross multiply
    518,622x = 778,064.28 × 144,645
  4. Step 4: Simplify right side
    518,622x = 112,543,107,780.60
  5. Step 5: Solve for x
    x = 112,543,107,780.60/518,622
  6. Step 6: Final answer
    x = 217,004.11

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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.