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Finding the Fourth Proportional to 306,157.80, 459,078.49 and 137,533.95

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Solution

The fourth proportional to 306,157.80, 459,078.49 and 137,533.95 is: 206,229.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,157.80 : 459,078.49 = 137,533.95 : x
  2. Step 2: Convert to fraction form
    306,157.80/459,078.49 = 137,533.95/x
  3. Step 3: Cross multiply
    306,157.80x = 459,078.49 × 137,533.95
  4. Step 4: Simplify right side
    306,157.80x = 63,138,877,488.02
  5. Step 5: Solve for x
    x = 63,138,877,488.02/306,157.80
  6. Step 6: Final answer
    x = 206,229.85

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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.