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Finding the Fourth Proportional to 646,295.76, 969,006.24 and 225,342

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Solution

The fourth proportional to 646,295.76, 969,006.24 and 225,342 is: 337,860.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,295.76 : 969,006.24 = 225,342 : x
  2. Step 2: Convert to fraction form
    646,295.76/969,006.24 = 225,342/x
  3. Step 3: Cross multiply
    646,295.76x = 969,006.24 × 225,342
  4. Step 4: Simplify right side
    646,295.76x = 218,357,804,134.08
  5. Step 5: Solve for x
    x = 218,357,804,134.08/646,295.76
  6. Step 6: Final answer
    x = 337,860.49

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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.