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Finding the Fourth Proportional to 430,414.40, 645,427.20 and 193,635.20

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Solution

The fourth proportional to 430,414.40, 645,427.20 and 193,635.20 is: 290,365.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,414.40 : 645,427.20 = 193,635.20 : x
  2. Step 2: Convert to fraction form
    430,414.40/645,427.20 = 193,635.20/x
  3. Step 3: Cross multiply
    430,414.40x = 645,427.20 × 193,635.20
  4. Step 4: Simplify right side
    430,414.40x = 124,977,424,957.44
  5. Step 5: Solve for x
    x = 124,977,424,957.44/430,414.40
  6. Step 6: Final answer
    x = 290,365.34

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1.5x scale

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.