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Finding the Fourth Proportional to 427,698.60, 640,856.70 and 269,644.20

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Solution

The fourth proportional to 427,698.60, 640,856.70 and 269,644.20 is: 404,030.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,698.60 : 640,856.70 = 269,644.20 : x
  2. Step 2: Convert to fraction form
    427,698.60/640,856.70 = 269,644.20/x
  3. Step 3: Cross multiply
    427,698.60x = 640,856.70 × 269,644.20
  4. Step 4: Simplify right side
    427,698.60x = 172,803,292,186.14
  5. Step 5: Solve for x
    x = 172,803,292,186.14/427,698.60
  6. Step 6: Final answer
    x = 404,030.53

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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.