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Finding the Fourth Proportional to 414,006.60, 621,009.90 and 164,688.60

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Solution

The fourth proportional to 414,006.60, 621,009.90 and 164,688.60 is: 247,032.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,006.60 : 621,009.90 = 164,688.60 : x
  2. Step 2: Convert to fraction form
    414,006.60/621,009.90 = 164,688.60/x
  3. Step 3: Cross multiply
    414,006.60x = 621,009.90 × 164,688.60
  4. Step 4: Simplify right side
    414,006.60x = 102,273,251,017.14
  5. Step 5: Solve for x
    x = 102,273,251,017.14/414,006.60
  6. Step 6: Final answer
    x = 247,032.90

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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.