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Finding the Fourth Proportional to 470,118.72, 647,956.08 and 339,404.16

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Solution

The fourth proportional to 470,118.72, 647,956.08 and 339,404.16 is: 467,794.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,118.72 : 647,956.08 = 339,404.16 : x
  2. Step 2: Convert to fraction form
    470,118.72/647,956.08 = 339,404.16/x
  3. Step 3: Cross multiply
    470,118.72x = 647,956.08 × 339,404.16
  4. Step 4: Simplify right side
    470,118.72x = 219,918,989,049.29
  5. Step 5: Solve for x
    x = 219,918,989,049.29/470,118.72
  6. Step 6: Final answer
    x = 467,794.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.