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Finding the Fourth Proportional to 315,335.20, 472,225.20 and 209,581.60

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Solution

The fourth proportional to 315,335.20, 472,225.20 and 209,581.60 is: 313,855.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,335.20 : 472,225.20 = 209,581.60 : x
  2. Step 2: Convert to fraction form
    315,335.20/472,225.20 = 209,581.60/x
  3. Step 3: Cross multiply
    315,335.20x = 472,225.20 × 209,581.60
  4. Step 4: Simplify right side
    315,335.20x = 98,969,712,976.32
  5. Step 5: Solve for x
    x = 98,969,712,976.32/315,335.20
  6. Step 6: Final answer
    x = 313,855.58

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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.