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Finding the Fourth Proportional to 470,544, 649,350.72 and 258,576

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Solution

The fourth proportional to 470,544, 649,350.72 and 258,576 is: 356,834.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,544 : 649,350.72 = 258,576 : x
  2. Step 2: Convert to fraction form
    470,544/649,350.72 = 258,576/x
  3. Step 3: Cross multiply
    470,544x = 649,350.72 × 258,576
  4. Step 4: Simplify right side
    470,544x = 167,906,511,774.72
  5. Step 5: Solve for x
    x = 167,906,511,774.72/470,544
  6. Step 6: Final answer
    x = 356,834.88

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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.