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Finding the Fourth Proportional to 315,709.48, 435,601.02 and 202,685.32

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Solution

The fourth proportional to 315,709.48, 435,601.02 and 202,685.32 is: 279,655.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,709.48 : 435,601.02 = 202,685.32 : x
  2. Step 2: Convert to fraction form
    315,709.48/435,601.02 = 202,685.32/x
  3. Step 3: Cross multiply
    315,709.48x = 435,601.02 × 202,685.32
  4. Step 4: Simplify right side
    315,709.48x = 88,289,932,131.03
  5. Step 5: Solve for x
    x = 88,289,932,131.03/315,709.48
  6. Step 6: Final answer
    x = 279,655.63

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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.