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Finding the Fourth Proportional to 430,659.28, 645,815.94 and 177,978.52

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Solution

The fourth proportional to 430,659.28, 645,815.94 and 177,978.52 is: 266,896.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,659.28 : 645,815.94 = 177,978.52 : x
  2. Step 2: Convert to fraction form
    430,659.28/645,815.94 = 177,978.52/x
  3. Step 3: Cross multiply
    430,659.28x = 645,815.94 × 177,978.52
  4. Step 4: Simplify right side
    430,659.28x = 114,941,365,193.61
  5. Step 5: Solve for x
    x = 114,941,365,193.61/430,659.28
  6. Step 6: Final answer
    x = 266,896.29

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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.