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Finding the Fourth Proportional to 780,626.24, 1,077,264 and 422,930.24

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Solution

The fourth proportional to 780,626.24, 1,077,264 and 422,930.24 is: 583,643.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,626.24 : 1,077,264 = 422,930.24 : x
  2. Step 2: Convert to fraction form
    780,626.24/1,077,264 = 422,930.24/x
  3. Step 3: Cross multiply
    780,626.24x = 1,077,264 × 422,930.24
  4. Step 4: Simplify right side
    780,626.24x = 455,607,522,063.36
  5. Step 5: Solve for x
    x = 455,607,522,063.36/780,626.24
  6. Step 6: Final answer
    x = 583,643.62

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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.