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Finding the Fourth Proportional to 283,330.90, 424,012.20 and 259,711.30

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Solution

The fourth proportional to 283,330.90, 424,012.20 and 259,711.30 is: 388,664.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,330.90 : 424,012.20 = 259,711.30 : x
  2. Step 2: Convert to fraction form
    283,330.90/424,012.20 = 259,711.30/x
  3. Step 3: Cross multiply
    283,330.90x = 424,012.20 × 259,711.30
  4. Step 4: Simplify right side
    283,330.90x = 110,120,759,677.86
  5. Step 5: Solve for x
    x = 110,120,759,677.86/283,330.90
  6. Step 6: Final answer
    x = 388,664.84

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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.