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Finding the Fourth Proportional to 315,713.48, 435,606.54 and 202,689.32

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Solution

The fourth proportional to 315,713.48, 435,606.54 and 202,689.32 is: 279,661.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,713.48 : 435,606.54 = 202,689.32 : x
  2. Step 2: Convert to fraction form
    315,713.48/435,606.54 = 202,689.32/x
  3. Step 3: Cross multiply
    315,713.48x = 435,606.54 × 202,689.32
  4. Step 4: Simplify right side
    315,713.48x = 88,292,793,380.15
  5. Step 5: Solve for x
    x = 88,292,793,380.15/315,713.48
  6. Step 6: Final answer
    x = 279,661.15

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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.