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Finding the Fourth Proportional to 471,569.40, 650,745.86 and 256,705

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Solution

The fourth proportional to 471,569.40, 650,745.86 and 256,705 is: 354,242.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,569.40 : 650,745.86 = 256,705 : x
  2. Step 2: Convert to fraction form
    471,569.40/650,745.86 = 256,705/x
  3. Step 3: Cross multiply
    471,569.40x = 650,745.86 × 256,705
  4. Step 4: Simplify right side
    471,569.40x = 167,049,715,991.30
  5. Step 5: Solve for x
    x = 167,049,715,991.30/471,569.40
  6. Step 6: Final answer
    x = 354,242.06

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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.