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Finding the Fourth Proportional to 283,884.74, 426,122.35 and 209,089.34

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Solution

The fourth proportional to 283,884.74, 426,122.35 and 209,089.34 is: 313,851.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,884.74 : 426,122.35 = 209,089.34 : x
  2. Step 2: Convert to fraction form
    283,884.74/426,122.35 = 209,089.34/x
  3. Step 3: Cross multiply
    283,884.74x = 426,122.35 × 209,089.34
  4. Step 4: Simplify right side
    283,884.74x = 89,097,640,920.75
  5. Step 5: Solve for x
    x = 89,097,640,920.75/283,884.74
  6. Step 6: Final answer
    x = 313,851.46

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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.