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Finding the Fourth Proportional to 555,084, 766,034.60 and 340,182.64

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Solution

The fourth proportional to 555,084, 766,034.60 and 340,182.64 is: 469,463.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,084 : 766,034.60 = 340,182.64 : x
  2. Step 2: Convert to fraction form
    555,084/766,034.60 = 340,182.64/x
  3. Step 3: Cross multiply
    555,084x = 766,034.60 × 340,182.64
  4. Step 4: Simplify right side
    555,084x = 260,591,672,559.34
  5. Step 5: Solve for x
    x = 260,591,672,559.34/555,084
  6. Step 6: Final answer
    x = 469,463.49

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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.