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Finding the Fourth Proportional to 325,648.80, 488,588.40 and 314,128.80

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Solution

The fourth proportional to 325,648.80, 488,588.40 and 314,128.80 is: 471,304.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,648.80 : 488,588.40 = 314,128.80 : x
  2. Step 2: Convert to fraction form
    325,648.80/488,588.40 = 314,128.80/x
  3. Step 3: Cross multiply
    325,648.80x = 488,588.40 × 314,128.80
  4. Step 4: Simplify right side
    325,648.80x = 153,479,687,785.92
  5. Step 5: Solve for x
    x = 153,479,687,785.92/325,648.80
  6. Step 6: Final answer
    x = 471,304.32

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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.