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Finding the Fourth Proportional to 522,693.63, 783,351.54 and 206,978.31

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Solution

The fourth proportional to 522,693.63, 783,351.54 and 206,978.31 is: 310,194.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,693.63 : 783,351.54 = 206,978.31 : x
  2. Step 2: Convert to fraction form
    522,693.63/783,351.54 = 206,978.31/x
  3. Step 3: Cross multiply
    522,693.63x = 783,351.54 × 206,978.31
  4. Step 4: Simplify right side
    522,693.63x = 162,136,777,885.10
  5. Step 5: Solve for x
    x = 162,136,777,885.10/522,693.63
  6. Step 6: Final answer
    x = 310,194.67

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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.