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Finding the Fourth Proportional to 315,419.32, 435,031.86 and 202,252.60

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Solution

The fourth proportional to 315,419.32, 435,031.86 and 202,252.60 is: 278,950.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,419.32 : 435,031.86 = 202,252.60 : x
  2. Step 2: Convert to fraction form
    315,419.32/435,031.86 = 202,252.60/x
  3. Step 3: Cross multiply
    315,419.32x = 435,031.86 × 202,252.60
  4. Step 4: Simplify right side
    315,419.32x = 87,986,324,767.84
  5. Step 5: Solve for x
    x = 87,986,324,767.84/315,419.32
  6. Step 6: Final answer
    x = 278,950.33

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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.