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Finding the Fourth Proportional to 381,683.60, 572,784.60 and 213,203.60

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Solution

The fourth proportional to 381,683.60, 572,784.60 and 213,203.60 is: 319,950.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,683.60 : 572,784.60 = 213,203.60 : x
  2. Step 2: Convert to fraction form
    381,683.60/572,784.60 = 213,203.60/x
  3. Step 3: Cross multiply
    381,683.60x = 572,784.60 × 213,203.60
  4. Step 4: Simplify right side
    381,683.60x = 122,119,738,744.56
  5. Step 5: Solve for x
    x = 122,119,738,744.56/381,683.60
  6. Step 6: Final answer
    x = 319,950.19

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1.5x scale

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.