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Finding the Fourth Proportional to 779,734, 1,076,036.16 and 422,038

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Solution

The fourth proportional to 779,734, 1,076,036.16 and 422,038 is: 582,414.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,734 : 1,076,036.16 = 422,038 : x
  2. Step 2: Convert to fraction form
    779,734/1,076,036.16 = 422,038/x
  3. Step 3: Cross multiply
    779,734x = 1,076,036.16 × 422,038
  4. Step 4: Simplify right side
    779,734x = 454,128,148,894.08
  5. Step 5: Solve for x
    x = 454,128,148,894.08/779,734
  6. Step 6: Final answer
    x = 582,414.19

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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.