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Finding the Fourth Proportional to 587,905.72, 811,456.86 and 361,420

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Solution

The fourth proportional to 587,905.72, 811,456.86 and 361,420 is: 498,849.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,905.72 : 811,456.86 = 361,420 : x
  2. Step 2: Convert to fraction form
    587,905.72/811,456.86 = 361,420/x
  3. Step 3: Cross multiply
    587,905.72x = 811,456.86 × 361,420
  4. Step 4: Simplify right side
    587,905.72x = 293,276,738,341.20
  5. Step 5: Solve for x
    x = 293,276,738,341.20/587,905.72
  6. Step 6: Final answer
    x = 498,849.95

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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.