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Finding the Fourth Proportional to 295,687.54, 408,048.98 and 159,721.50

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Solution

The fourth proportional to 295,687.54, 408,048.98 and 159,721.50 is: 220,415.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,687.54 : 408,048.98 = 159,721.50 : x
  2. Step 2: Convert to fraction form
    295,687.54/408,048.98 = 159,721.50/x
  3. Step 3: Cross multiply
    295,687.54x = 408,048.98 × 159,721.50
  4. Step 4: Simplify right side
    295,687.54x = 65,174,195,159.07
  5. Step 5: Solve for x
    x = 65,174,195,159.07/295,687.54
  6. Step 6: Final answer
    x = 220,415.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.