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Finding the Fourth Proportional to 433,508.36, 649,421.22 and 319,449.20

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Solution

The fourth proportional to 433,508.36, 649,421.22 and 319,449.20 is: 478,553.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,508.36 : 649,421.22 = 319,449.20 : x
  2. Step 2: Convert to fraction form
    433,508.36/649,421.22 = 319,449.20/x
  3. Step 3: Cross multiply
    433,508.36x = 649,421.22 × 319,449.20
  4. Step 4: Simplify right side
    433,508.36x = 207,457,089,192.02
  5. Step 5: Solve for x
    x = 207,457,089,192.02/433,508.36
  6. Step 6: Final answer
    x = 478,553.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.