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Finding the Fourth Proportional to 779,754, 1,076,063.76 and 422,058

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Solution

The fourth proportional to 779,754, 1,076,063.76 and 422,058 is: 582,441.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,754 : 1,076,063.76 = 422,058 : x
  2. Step 2: Convert to fraction form
    779,754/1,076,063.76 = 422,058/x
  3. Step 3: Cross multiply
    779,754x = 1,076,063.76 × 422,058
  4. Step 4: Simplify right side
    779,754x = 454,161,318,418.08
  5. Step 5: Solve for x
    x = 454,161,318,418.08/779,754
  6. Step 6: Final answer
    x = 582,441.79

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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.