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Finding the Fourth Proportional to 213,607.92, 320,412.69 and 200,617.14

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Solution

The fourth proportional to 213,607.92, 320,412.69 and 200,617.14 is: 300,926.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,607.92 : 320,412.69 = 200,617.14 : x
  2. Step 2: Convert to fraction form
    213,607.92/320,412.69 = 200,617.14/x
  3. Step 3: Cross multiply
    213,607.92x = 320,412.69 × 200,617.14
  4. Step 4: Simplify right side
    213,607.92x = 64,280,277,487.51
  5. Step 5: Solve for x
    x = 64,280,277,487.51/213,607.92
  6. Step 6: Final answer
    x = 300,926.47

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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.