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Finding the Fourth Proportional to 779,708, 1,076,000.28 and 422,012

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Solution

The fourth proportional to 779,708, 1,076,000.28 and 422,012 is: 582,378.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,708 : 1,076,000.28 = 422,012 : x
  2. Step 2: Convert to fraction form
    779,708/1,076,000.28 = 422,012/x
  3. Step 3: Cross multiply
    779,708x = 1,076,000.28 × 422,012
  4. Step 4: Simplify right side
    779,708x = 454,085,030,163.36
  5. Step 5: Solve for x
    x = 454,085,030,163.36/779,708
  6. Step 6: Final answer
    x = 582,378.31

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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.