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Finding the Fourth Proportional to 430,422.40, 645,439.20 and 193,643.20

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Solution

The fourth proportional to 430,422.40, 645,439.20 and 193,643.20 is: 290,377.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,422.40 : 645,439.20 = 193,643.20 : x
  2. Step 2: Convert to fraction form
    430,422.40/645,439.20 = 193,643.20/x
  3. Step 3: Cross multiply
    430,422.40x = 645,439.20 × 193,643.20
  4. Step 4: Simplify right side
    430,422.40x = 124,984,912,093.44
  5. Step 5: Solve for x
    x = 124,984,912,093.44/430,422.40
  6. Step 6: Final answer
    x = 290,377.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.