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Finding the Fourth Proportional to 553,614.01, 763,983.86 and 311,974.20

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Solution

The fourth proportional to 553,614.01, 763,983.86 and 311,974.20 is: 430,522.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,614.01 : 763,983.86 = 311,974.20 : x
  2. Step 2: Convert to fraction form
    553,614.01/763,983.86 = 311,974.20/x
  3. Step 3: Cross multiply
    553,614.01x = 763,983.86 × 311,974.20
  4. Step 4: Simplify right side
    553,614.01x = 238,343,251,976.54
  5. Step 5: Solve for x
    x = 238,343,251,976.54/553,614.01
  6. Step 6: Final answer
    x = 430,522.44

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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.