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Finding the Fourth Proportional to 522,694.63, 783,353.04 and 206,979.31

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Solution

The fourth proportional to 522,694.63, 783,353.04 and 206,979.31 is: 310,196.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,694.63 : 783,353.04 = 206,979.31 : x
  2. Step 2: Convert to fraction form
    522,694.63/783,353.04 = 206,979.31/x
  3. Step 3: Cross multiply
    522,694.63x = 783,353.04 × 206,979.31
  4. Step 4: Simplify right side
    522,694.63x = 162,137,871,705.60
  5. Step 5: Solve for x
    x = 162,137,871,705.60/522,694.63
  6. Step 6: Final answer
    x = 310,196.17

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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.