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Finding the Fourth Proportional to 470,930.19, 649,879.17 and 256,070.40

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Solution

The fourth proportional to 470,930.19, 649,879.17 and 256,070.40 is: 353,374.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,930.19 : 649,879.17 = 256,070.40 : x
  2. Step 2: Convert to fraction form
    470,930.19/649,879.17 = 256,070.40/x
  3. Step 3: Cross multiply
    470,930.19x = 649,879.17 × 256,070.40
  4. Step 4: Simplify right side
    470,930.19x = 166,414,819,013.57
  5. Step 5: Solve for x
    x = 166,414,819,013.57/470,930.19
  6. Step 6: Final answer
    x = 353,374.71

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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.