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Finding the Fourth Proportional to 780,187, 1,076,658.06 and 422,491

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Solution

The fourth proportional to 780,187, 1,076,658.06 and 422,491 is: 583,037.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,187 : 1,076,658.06 = 422,491 : x
  2. Step 2: Convert to fraction form
    780,187/1,076,658.06 = 422,491/x
  3. Step 3: Cross multiply
    780,187x = 1,076,658.06 × 422,491
  4. Step 4: Simplify right side
    780,187x = 454,878,340,427.46
  5. Step 5: Solve for x
    x = 454,878,340,427.46/780,187
  6. Step 6: Final answer
    x = 583,037.58

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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.