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Finding the Fourth Proportional to 780,113, 1,076,562.42 and 422,417

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Solution

The fourth proportional to 780,113, 1,076,562.42 and 422,417 is: 582,938.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,113 : 1,076,562.42 = 422,417 : x
  2. Step 2: Convert to fraction form
    780,113/1,076,562.42 = 422,417/x
  3. Step 3: Cross multiply
    780,113x = 1,076,562.42 × 422,417
  4. Step 4: Simplify right side
    780,113x = 454,758,267,769.14
  5. Step 5: Solve for x
    x = 454,758,267,769.14/780,113
  6. Step 6: Final answer
    x = 582,938.97

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1.5x scale

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.