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Finding the Fourth Proportional to 470,412.86, 649,273.05 and 309,282.90

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Solution

The fourth proportional to 470,412.86, 649,273.05 and 309,282.90 is: 426,878.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,412.86 : 649,273.05 = 309,282.90 : x
  2. Step 2: Convert to fraction form
    470,412.86/649,273.05 = 309,282.90/x
  3. Step 3: Cross multiply
    470,412.86x = 649,273.05 × 309,282.90
  4. Step 4: Simplify right side
    470,412.86x = 200,809,051,795.85
  5. Step 5: Solve for x
    x = 200,809,051,795.85/470,412.86
  6. Step 6: Final answer
    x = 426,878.32

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1.5x scale

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.