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Finding the Fourth Proportional to 779,733, 1,076,034.78 and 422,037

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Solution

The fourth proportional to 779,733, 1,076,034.78 and 422,037 is: 582,412.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,733 : 1,076,034.78 = 422,037 : x
  2. Step 2: Convert to fraction form
    779,733/1,076,034.78 = 422,037/x
  3. Step 3: Cross multiply
    779,733x = 1,076,034.78 × 422,037
  4. Step 4: Simplify right side
    779,733x = 454,126,490,446.86
  5. Step 5: Solve for x
    x = 454,126,490,446.86/779,733
  6. Step 6: Final answer
    x = 582,412.81

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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.