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Finding the Fourth Proportional to 519,106.58, 778,655.18 and 164,120.72

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Solution

The fourth proportional to 519,106.58, 778,655.18 and 164,120.72 is: 246,179.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,106.58 : 778,655.18 = 164,120.72 : x
  2. Step 2: Convert to fraction form
    519,106.58/778,655.18 = 164,120.72/x
  3. Step 3: Cross multiply
    519,106.58x = 778,655.18 × 164,120.72
  4. Step 4: Simplify right side
    519,106.58x = 127,793,448,773.33
  5. Step 5: Solve for x
    x = 127,793,448,773.33/519,106.58
  6. Step 6: Final answer
    x = 246,179.60

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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.