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Finding the Fourth Proportional to 427,024.96, 640,603.86 and 142,627.48

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Solution

The fourth proportional to 427,024.96, 640,603.86 and 142,627.48 is: 213,963.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,024.96 : 640,603.86 = 142,627.48 : x
  2. Step 2: Convert to fraction form
    427,024.96/640,603.86 = 142,627.48/x
  3. Step 3: Cross multiply
    427,024.96x = 640,603.86 × 142,627.48
  4. Step 4: Simplify right side
    427,024.96x = 91,367,714,230.07
  5. Step 5: Solve for x
    x = 91,367,714,230.07/427,024.96
  6. Step 6: Final answer
    x = 213,963.40

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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.