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Finding the Fourth Proportional to 780,074, 1,076,502.16 and 422,378

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Solution

The fourth proportional to 780,074, 1,076,502.16 and 422,378 is: 582,881.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,074 : 1,076,502.16 = 422,378 : x
  2. Step 2: Convert to fraction form
    780,074/1,076,502.16 = 422,378/x
  3. Step 3: Cross multiply
    780,074x = 1,076,502.16 × 422,378
  4. Step 4: Simplify right side
    780,074x = 454,690,829,336.48
  5. Step 5: Solve for x
    x = 454,690,829,336.48/780,074
  6. Step 6: Final answer
    x = 582,881.66

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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.