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Finding the Fourth Proportional to 355,154.16, 490,127.64 and 204,251.28

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Solution

The fourth proportional to 355,154.16, 490,127.64 and 204,251.28 is: 281,875.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,154.16 : 490,127.64 = 204,251.28 : x
  2. Step 2: Convert to fraction form
    355,154.16/490,127.64 = 204,251.28/x
  3. Step 3: Cross multiply
    355,154.16x = 490,127.64 × 204,251.28
  4. Step 4: Simplify right side
    355,154.16x = 100,109,197,833.38
  5. Step 5: Solve for x
    x = 100,109,197,833.38/355,154.16
  6. Step 6: Final answer
    x = 281,875.34

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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.