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Finding the Fourth Proportional to 555,146.60, 766,102.10 and 300,497.78

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Solution

The fourth proportional to 555,146.60, 766,102.10 and 300,497.78 is: 414,686.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,146.60 : 766,102.10 = 300,497.78 : x
  2. Step 2: Convert to fraction form
    555,146.60/766,102.10 = 300,497.78/x
  3. Step 3: Cross multiply
    555,146.60x = 766,102.10 × 300,497.78
  4. Step 4: Simplify right side
    555,146.60x = 230,211,980,716.10
  5. Step 5: Solve for x
    x = 230,211,980,716.10/555,146.60
  6. Step 6: Final answer
    x = 414,686.83

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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.