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Finding the Fourth Proportional to 535,635.36, 802,980 and 409,837.11

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Solution

The fourth proportional to 535,635.36, 802,980 and 409,837.11 is: 614,393.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,635.36 : 802,980 = 409,837.11 : x
  2. Step 2: Convert to fraction form
    535,635.36/802,980 = 409,837.11/x
  3. Step 3: Cross multiply
    535,635.36x = 802,980 × 409,837.11
  4. Step 4: Simplify right side
    535,635.36x = 329,091,002,587.80
  5. Step 5: Solve for x
    x = 329,091,002,587.80/535,635.36
  6. Step 6: Final answer
    x = 614,393.72

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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.