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Finding the Fourth Proportional to 779,751, 1,076,059.62 and 422,055

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Solution

The fourth proportional to 779,751, 1,076,059.62 and 422,055 is: 582,437.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,751 : 1,076,059.62 = 422,055 : x
  2. Step 2: Convert to fraction form
    779,751/1,076,059.62 = 422,055/x
  3. Step 3: Cross multiply
    779,751x = 1,076,059.62 × 422,055
  4. Step 4: Simplify right side
    779,751x = 454,156,342,919.10
  5. Step 5: Solve for x
    x = 454,156,342,919.10/779,751
  6. Step 6: Final answer
    x = 582,437.65

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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.