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Finding the Fourth Proportional to 645,543, 968,470.02 and 202,311

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Solution

The fourth proportional to 645,543, 968,470.02 and 202,311 is: 303,515.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,543 : 968,470.02 = 202,311 : x
  2. Step 2: Convert to fraction form
    645,543/968,470.02 = 202,311/x
  3. Step 3: Cross multiply
    645,543x = 968,470.02 × 202,311
  4. Step 4: Simplify right side
    645,543x = 195,932,138,216.22
  5. Step 5: Solve for x
    x = 195,932,138,216.22/645,543
  6. Step 6: Final answer
    x = 303,515.24

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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.