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Finding the Fourth Proportional to 315,478.56, 435,410.38 and 200,637.46

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Solution

The fourth proportional to 315,478.56, 435,410.38 and 200,637.46 is: 276,911.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,478.56 : 435,410.38 = 200,637.46 : x
  2. Step 2: Convert to fraction form
    315,478.56/435,410.38 = 200,637.46/x
  3. Step 3: Cross multiply
    315,478.56x = 435,410.38 × 200,637.46
  4. Step 4: Simplify right side
    315,478.56x = 87,359,632,700.83
  5. Step 5: Solve for x
    x = 87,359,632,700.83/315,478.56
  6. Step 6: Final answer
    x = 276,911.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.