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Finding the Fourth Proportional to 325,720.80, 488,581.20 and 213,746.40

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Solution

The fourth proportional to 325,720.80, 488,581.20 and 213,746.40 is: 320,619.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,720.80 : 488,581.20 = 213,746.40 : x
  2. Step 2: Convert to fraction form
    325,720.80/488,581.20 = 213,746.40/x
  3. Step 3: Cross multiply
    325,720.80x = 488,581.20 × 213,746.40
  4. Step 4: Simplify right side
    325,720.80x = 104,432,472,607.68
  5. Step 5: Solve for x
    x = 104,432,472,607.68/325,720.80
  6. Step 6: Final answer
    x = 320,619.60

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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.