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Finding the Fourth Proportional to 433,480.64, 649,943.96 and 208,393.18

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Solution

The fourth proportional to 433,480.64, 649,943.96 and 208,393.18 is: 312,456.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,480.64 : 649,943.96 = 208,393.18 : x
  2. Step 2: Convert to fraction form
    433,480.64/649,943.96 = 208,393.18/x
  3. Step 3: Cross multiply
    433,480.64x = 649,943.96 × 208,393.18
  4. Step 4: Simplify right side
    433,480.64x = 135,443,888,646.19
  5. Step 5: Solve for x
    x = 135,443,888,646.19/433,480.64
  6. Step 6: Final answer
    x = 312,456.60

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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.