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Finding the Fourth Proportional to 340,372, 469,713.36 and 189,478.72

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Solution

The fourth proportional to 340,372, 469,713.36 and 189,478.72 is: 261,480.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,372 : 469,713.36 = 189,478.72 : x
  2. Step 2: Convert to fraction form
    340,372/469,713.36 = 189,478.72/x
  3. Step 3: Cross multiply
    340,372x = 469,713.36 × 189,478.72
  4. Step 4: Simplify right side
    340,372x = 89,000,686,219.70
  5. Step 5: Solve for x
    x = 89,000,686,219.70/340,372
  6. Step 6: Final answer
    x = 261,480.63

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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.