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Finding the Fourth Proportional to 470,072, 648,699.36 and 258,104

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Solution

The fourth proportional to 470,072, 648,699.36 and 258,104 is: 356,183.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,072 : 648,699.36 = 258,104 : x
  2. Step 2: Convert to fraction form
    470,072/648,699.36 = 258,104/x
  3. Step 3: Cross multiply
    470,072x = 648,699.36 × 258,104
  4. Step 4: Simplify right side
    470,072x = 167,431,899,613.44
  5. Step 5: Solve for x
    x = 167,431,899,613.44/470,072
  6. Step 6: Final answer
    x = 356,183.52

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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.