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Finding the Fourth Proportional to 586,729.98, 809,659.08 and 360,331.74

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Solution

The fourth proportional to 586,729.98, 809,659.08 and 360,331.74 is: 497,240.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,729.98 : 809,659.08 = 360,331.74 : x
  2. Step 2: Convert to fraction form
    586,729.98/809,659.08 = 360,331.74/x
  3. Step 3: Cross multiply
    586,729.98x = 809,659.08 × 360,331.74
  4. Step 4: Simplify right side
    586,729.98x = 291,745,865,103.20
  5. Step 5: Solve for x
    x = 291,745,865,103.20/586,729.98
  6. Step 6: Final answer
    x = 497,240.43

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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.