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Finding the Fourth Proportional to 315,444.52, 435,313.02 and 202,267

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Solution

The fourth proportional to 315,444.52, 435,313.02 and 202,267 is: 279,128.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,444.52 : 435,313.02 = 202,267 : x
  2. Step 2: Convert to fraction form
    315,444.52/435,313.02 = 202,267/x
  3. Step 3: Cross multiply
    315,444.52x = 435,313.02 × 202,267
  4. Step 4: Simplify right side
    315,444.52x = 88,049,458,616.34
  5. Step 5: Solve for x
    x = 88,049,458,616.34/315,444.52
  6. Step 6: Final answer
    x = 279,128.19

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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.