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Finding the Fourth Proportional to 470,546, 649,353.48 and 258,578

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Solution

The fourth proportional to 470,546, 649,353.48 and 258,578 is: 356,837.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,546 : 649,353.48 = 258,578 : x
  2. Step 2: Convert to fraction form
    470,546/649,353.48 = 258,578/x
  3. Step 3: Cross multiply
    470,546x = 649,353.48 × 258,578
  4. Step 4: Simplify right side
    470,546x = 167,908,524,151.44
  5. Step 5: Solve for x
    x = 167,908,524,151.44/470,546
  6. Step 6: Final answer
    x = 356,837.64

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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.