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Finding the Fourth Proportional to 312,102.72, 467,998.20 and 101,714.40

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Solution

The fourth proportional to 312,102.72, 467,998.20 and 101,714.40 is: 152,520.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,102.72 : 467,998.20 = 101,714.40 : x
  2. Step 2: Convert to fraction form
    312,102.72/467,998.20 = 101,714.40/x
  3. Step 3: Cross multiply
    312,102.72x = 467,998.20 × 101,714.40
  4. Step 4: Simplify right side
    312,102.72x = 47,602,156,114.08
  5. Step 5: Solve for x
    x = 47,602,156,114.08/312,102.72
  6. Step 6: Final answer
    x = 152,520.80

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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.