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Finding the Fourth Proportional to 551,494.70, 761,081.16 and 306,489.78

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Solution

The fourth proportional to 551,494.70, 761,081.16 and 306,489.78 is: 422,966.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,494.70 : 761,081.16 = 306,489.78 : x
  2. Step 2: Convert to fraction form
    551,494.70/761,081.16 = 306,489.78/x
  3. Step 3: Cross multiply
    551,494.70x = 761,081.16 × 306,489.78
  4. Step 4: Simplify right side
    551,494.70x = 233,263,597,290.55
  5. Step 5: Solve for x
    x = 233,263,597,290.55/551,494.70
  6. Step 6: Final answer
    x = 422,966.16

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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.