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Finding the Fourth Proportional to 470,212.99, 649,092.58 and 317,458.10

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Solution

The fourth proportional to 470,212.99, 649,092.58 and 317,458.10 is: 438,226.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,212.99 : 649,092.58 = 317,458.10 : x
  2. Step 2: Convert to fraction form
    470,212.99/649,092.58 = 317,458.10/x
  3. Step 3: Cross multiply
    470,212.99x = 649,092.58 × 317,458.10
  4. Step 4: Simplify right side
    470,212.99x = 206,059,695,583.61
  5. Step 5: Solve for x
    x = 206,059,695,583.61/470,212.99
  6. Step 6: Final answer
    x = 438,226.30

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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.