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Finding the Fourth Proportional to 470,999.52, 649,649.88 and 309,803.04

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Solution

The fourth proportional to 470,999.52, 649,649.88 and 309,803.04 is: 427,311.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,999.52 : 649,649.88 = 309,803.04 : x
  2. Step 2: Convert to fraction form
    470,999.52/649,649.88 = 309,803.04/x
  3. Step 3: Cross multiply
    470,999.52x = 649,649.88 × 309,803.04
  4. Step 4: Simplify right side
    470,999.52x = 201,263,507,759.64
  5. Step 5: Solve for x
    x = 201,263,507,759.64/470,999.52
  6. Step 6: Final answer
    x = 427,311.49

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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.