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Finding the Fourth Proportional to 423,059.64, 634,591.62 and 142,579.32

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Solution

The fourth proportional to 423,059.64, 634,591.62 and 142,579.32 is: 213,869.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,059.64 : 634,591.62 = 142,579.32 : x
  2. Step 2: Convert to fraction form
    423,059.64/634,591.62 = 142,579.32/x
  3. Step 3: Cross multiply
    423,059.64x = 634,591.62 × 142,579.32
  4. Step 4: Simplify right side
    423,059.64x = 90,479,641,657.30
  5. Step 5: Solve for x
    x = 90,479,641,657.30/423,059.64
  6. Step 6: Final answer
    x = 213,869.71

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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.