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Finding the Fourth Proportional to 470,640.54, 649,488.98 and 255,780.62

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Solution

The fourth proportional to 470,640.54, 649,488.98 and 255,780.62 is: 352,979.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,640.54 : 649,488.98 = 255,780.62 : x
  2. Step 2: Convert to fraction form
    470,640.54/649,488.98 = 255,780.62/x
  3. Step 3: Cross multiply
    470,640.54x = 649,488.98 × 255,780.62
  4. Step 4: Simplify right side
    470,640.54x = 166,126,693,815.16
  5. Step 5: Solve for x
    x = 166,126,693,815.16/470,640.54
  6. Step 6: Final answer
    x = 352,979.99

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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.