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Finding the Fourth Proportional to 779,724, 1,076,022.36 and 422,028

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Solution

The fourth proportional to 779,724, 1,076,022.36 and 422,028 is: 582,400.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,724 : 1,076,022.36 = 422,028 : x
  2. Step 2: Convert to fraction form
    779,724/1,076,022.36 = 422,028/x
  3. Step 3: Cross multiply
    779,724x = 1,076,022.36 × 422,028
  4. Step 4: Simplify right side
    779,724x = 454,111,564,546.08
  5. Step 5: Solve for x
    x = 454,111,564,546.08/779,724
  6. Step 6: Final answer
    x = 582,400.39

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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.