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Finding the Fourth Proportional to 470,536, 649,339.68 and 258,568

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Solution

The fourth proportional to 470,536, 649,339.68 and 258,568 is: 356,823.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,536 : 649,339.68 = 258,568 : x
  2. Step 2: Convert to fraction form
    470,536/649,339.68 = 258,568/x
  3. Step 3: Cross multiply
    470,536x = 649,339.68 × 258,568
  4. Step 4: Simplify right side
    470,536x = 167,898,462,378.24
  5. Step 5: Solve for x
    x = 167,898,462,378.24/470,536
  6. Step 6: Final answer
    x = 356,823.84

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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.