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Finding the Fourth Proportional to 228,802.80, 343,398.60 and 102,637.20

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Solution

The fourth proportional to 228,802.80, 343,398.60 and 102,637.20 is: 154,043.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,802.80 : 343,398.60 = 102,637.20 : x
  2. Step 2: Convert to fraction form
    228,802.80/343,398.60 = 102,637.20/x
  3. Step 3: Cross multiply
    228,802.80x = 343,398.60 × 102,637.20
  4. Step 4: Simplify right side
    228,802.80x = 35,245,470,787.92
  5. Step 5: Solve for x
    x = 35,245,470,787.92/228,802.80
  6. Step 6: Final answer
    x = 154,043.00

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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.