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Finding the Fourth Proportional to 519,106.50, 778,654.80 and 164,120.46

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Solution

The fourth proportional to 519,106.50, 778,654.80 and 164,120.46 is: 246,179.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,106.50 : 778,654.80 = 164,120.46 : x
  2. Step 2: Convert to fraction form
    519,106.50/778,654.80 = 164,120.46/x
  3. Step 3: Cross multiply
    519,106.50x = 778,654.80 × 164,120.46
  4. Step 4: Simplify right side
    519,106.50x = 127,793,183,957.21
  5. Step 5: Solve for x
    x = 127,793,183,957.21/519,106.50
  6. Step 6: Final answer
    x = 246,179.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.