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Finding the Fourth Proportional to 475,817.72, 713,714.72 and 138,861.30

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Solution

The fourth proportional to 475,817.72, 713,714.72 and 138,861.30 is: 208,288.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,817.72 : 713,714.72 = 138,861.30 : x
  2. Step 2: Convert to fraction form
    475,817.72/713,714.72 = 138,861.30/x
  3. Step 3: Cross multiply
    475,817.72x = 713,714.72 × 138,861.30
  4. Step 4: Simplify right side
    475,817.72x = 99,107,351,345.48
  5. Step 5: Solve for x
    x = 99,107,351,345.48/475,817.72
  6. Step 6: Final answer
    x = 208,288.48

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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.