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Finding the Fourth Proportional to 315,293.63, 435,105.21 and 202,116.38

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Solution

The fourth proportional to 315,293.63, 435,105.21 and 202,116.38 is: 278,920.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,293.63 : 435,105.21 = 202,116.38 : x
  2. Step 2: Convert to fraction form
    315,293.63/435,105.21 = 202,116.38/x
  3. Step 3: Cross multiply
    315,293.63x = 435,105.21 × 202,116.38
  4. Step 4: Simplify right side
    315,293.63x = 87,941,887,788.81
  5. Step 5: Solve for x
    x = 87,941,887,788.81/315,293.63
  6. Step 6: Final answer
    x = 278,920.60

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1.5x scale

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.