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Finding the Fourth Proportional to 358,534.82, 494,807.03 and 205,587.28

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Solution

The fourth proportional to 358,534.82, 494,807.03 and 205,587.28 is: 283,727.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,534.82 : 494,807.03 = 205,587.28 : x
  2. Step 2: Convert to fraction form
    358,534.82/494,807.03 = 205,587.28/x
  3. Step 3: Cross multiply
    358,534.82x = 494,807.03 × 205,587.28
  4. Step 4: Simplify right side
    358,534.82x = 101,726,031,784.10
  5. Step 5: Solve for x
    x = 101,726,031,784.10/358,534.82
  6. Step 6: Final answer
    x = 283,727.06

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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.