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Finding the Fourth Proportional to 409,031.20, 613,546.80 and 304,055.20

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Solution

The fourth proportional to 409,031.20, 613,546.80 and 304,055.20 is: 456,082.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,031.20 : 613,546.80 = 304,055.20 : x
  2. Step 2: Convert to fraction form
    409,031.20/613,546.80 = 304,055.20/x
  3. Step 3: Cross multiply
    409,031.20x = 613,546.80 × 304,055.20
  4. Step 4: Simplify right side
    409,031.20x = 186,552,094,983.36
  5. Step 5: Solve for x
    x = 186,552,094,983.36/409,031.20
  6. Step 6: Final answer
    x = 456,082.80

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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.