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Finding the Fourth Proportional to 228,387.60, 342,889.20 and 133,714.80

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Solution

The fourth proportional to 228,387.60, 342,889.20 and 133,714.80 is: 200,752.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,387.60 : 342,889.20 = 133,714.80 : x
  2. Step 2: Convert to fraction form
    228,387.60/342,889.20 = 133,714.80/x
  3. Step 3: Cross multiply
    228,387.60x = 342,889.20 × 133,714.80
  4. Step 4: Simplify right side
    228,387.60x = 45,849,360,800.16
  5. Step 5: Solve for x
    x = 45,849,360,800.16/228,387.60
  6. Step 6: Final answer
    x = 200,752.41

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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.