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Finding the Fourth Proportional to 381,804.90, 572,707.35 and 194,792.10

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Solution

The fourth proportional to 381,804.90, 572,707.35 and 194,792.10 is: 292,188.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,804.90 : 572,707.35 = 194,792.10 : x
  2. Step 2: Convert to fraction form
    381,804.90/572,707.35 = 194,792.10/x
  3. Step 3: Cross multiply
    381,804.90x = 572,707.35 × 194,792.10
  4. Step 4: Simplify right side
    381,804.90x = 111,558,867,391.94
  5. Step 5: Solve for x
    x = 111,558,867,391.94/381,804.90
  6. Step 6: Final answer
    x = 292,188.15

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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.