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Finding the Fourth Proportional to 427,229.94, 640,941.84 and 227,445.06

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Solution

The fourth proportional to 427,229.94, 640,941.84 and 227,445.06 is: 341,219.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,229.94 : 640,941.84 = 227,445.06 : x
  2. Step 2: Convert to fraction form
    427,229.94/640,941.84 = 227,445.06/x
  3. Step 3: Cross multiply
    427,229.94x = 640,941.84 × 227,445.06
  4. Step 4: Simplify right side
    427,229.94x = 145,779,055,255.31
  5. Step 5: Solve for x
    x = 145,779,055,255.31/427,229.94
  6. Step 6: Final answer
    x = 341,219.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.