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Finding the Fourth Proportional to 470,879.17, 649,809.96 and 256,019.29

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Solution

The fourth proportional to 470,879.17, 649,809.96 and 256,019.29 is: 353,304.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,879.17 : 649,809.96 = 256,019.29 : x
  2. Step 2: Convert to fraction form
    470,879.17/649,809.96 = 256,019.29/x
  3. Step 3: Cross multiply
    470,879.17x = 649,809.96 × 256,019.29
  4. Step 4: Simplify right side
    470,879.17x = 166,363,884,594.13
  5. Step 5: Solve for x
    x = 166,363,884,594.13/470,879.17
  6. Step 6: Final answer
    x = 353,304.83

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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.