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Finding the Fourth Proportional to 433,564.32, 649,504.90 and 319,505.16

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Solution

The fourth proportional to 433,564.32, 649,504.90 and 319,505.16 is: 478,637.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,564.32 : 649,504.90 = 319,505.16 : x
  2. Step 2: Convert to fraction form
    433,564.32/649,504.90 = 319,505.16/x
  3. Step 3: Cross multiply
    433,564.32x = 649,504.90 × 319,505.16
  4. Step 4: Simplify right side
    433,564.32x = 207,520,166,995.28
  5. Step 5: Solve for x
    x = 207,520,166,995.28/433,564.32
  6. Step 6: Final answer
    x = 478,637.56

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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.