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Finding the Fourth Proportional to 613,322.66, 919,983.80 and 164,031.91

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Solution

The fourth proportional to 613,322.66, 919,983.80 and 164,031.91 is: 246,047.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,322.66 : 919,983.80 = 164,031.91 : x
  2. Step 2: Convert to fraction form
    613,322.66/919,983.80 = 164,031.91/x
  3. Step 3: Cross multiply
    613,322.66x = 919,983.80 × 164,031.91
  4. Step 4: Simplify right side
    613,322.66x = 150,906,700,119.29
  5. Step 5: Solve for x
    x = 150,906,700,119.29/613,322.66
  6. Step 6: Final answer
    x = 246,047.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.