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Finding the Fourth Proportional to 204,483.70, 306,069.45 and 145,434.70

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Solution

The fourth proportional to 204,483.70, 306,069.45 and 145,434.70 is: 217,685.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,483.70 : 306,069.45 = 145,434.70 : x
  2. Step 2: Convert to fraction form
    204,483.70/306,069.45 = 145,434.70/x
  3. Step 3: Cross multiply
    204,483.70x = 306,069.45 × 145,434.70
  4. Step 4: Simplify right side
    204,483.70x = 44,513,118,639.92
  5. Step 5: Solve for x
    x = 44,513,118,639.92/204,483.70
  6. Step 6: Final answer
    x = 217,685.41

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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.