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Finding the Fourth Proportional to 315,418.32, 435,030.48 and 202,251.60

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Solution

The fourth proportional to 315,418.32, 435,030.48 and 202,251.60 is: 278,948.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,418.32 : 435,030.48 = 202,251.60 : x
  2. Step 2: Convert to fraction form
    315,418.32/435,030.48 = 202,251.60/x
  3. Step 3: Cross multiply
    315,418.32x = 435,030.48 × 202,251.60
  4. Step 4: Simplify right side
    315,418.32x = 87,985,610,628.77
  5. Step 5: Solve for x
    x = 87,985,610,628.77/315,418.32
  6. Step 6: Final answer
    x = 278,948.95

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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.