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Finding the Fourth Proportional to 456,422.78, 684,625.67 and 136,574.84

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Solution

The fourth proportional to 456,422.78, 684,625.67 and 136,574.84 is: 204,859.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,422.78 : 684,625.67 = 136,574.84 : x
  2. Step 2: Convert to fraction form
    456,422.78/684,625.67 = 136,574.84/x
  3. Step 3: Cross multiply
    456,422.78x = 684,625.67 × 136,574.84
  4. Step 4: Simplify right side
    456,422.78x = 93,502,640,657.27
  5. Step 5: Solve for x
    x = 93,502,640,657.27/456,422.78
  6. Step 6: Final answer
    x = 204,859.72

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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.