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Finding the Fourth Proportional to 361,201.76, 541,802.88 and 212,478.72

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Solution

The fourth proportional to 361,201.76, 541,802.88 and 212,478.72 is: 318,718.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,201.76 : 541,802.88 = 212,478.72 : x
  2. Step 2: Convert to fraction form
    361,201.76/541,802.88 = 212,478.72/x
  3. Step 3: Cross multiply
    361,201.76x = 541,802.88 × 212,478.72
  4. Step 4: Simplify right side
    361,201.76x = 115,121,582,434.71
  5. Step 5: Solve for x
    x = 115,121,582,434.71/361,201.76
  6. Step 6: Final answer
    x = 318,718.22

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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.