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Finding the Fourth Proportional to 340,368.75, 469,708.88 and 189,475.47

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Solution

The fourth proportional to 340,368.75, 469,708.88 and 189,475.47 is: 261,476.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,368.75 : 469,708.88 = 189,475.47 : x
  2. Step 2: Convert to fraction form
    340,368.75/469,708.88 = 189,475.47/x
  3. Step 3: Cross multiply
    340,368.75x = 469,708.88 × 189,475.47
  4. Step 4: Simplify right side
    340,368.75x = 88,998,309,853.80
  5. Step 5: Solve for x
    x = 88,998,309,853.80/340,368.75
  6. Step 6: Final answer
    x = 261,476.15

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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.