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Finding the Fourth Proportional to 283,419.78, 425,326.23 and 183,330.78

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Solution

The fourth proportional to 283,419.78, 425,326.23 and 183,330.78 is: 275,123.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,419.78 : 425,326.23 = 183,330.78 : x
  2. Step 2: Convert to fraction form
    283,419.78/425,326.23 = 183,330.78/x
  3. Step 3: Cross multiply
    283,419.78x = 425,326.23 × 183,330.78
  4. Step 4: Simplify right side
    283,419.78x = 77,975,389,500.36
  5. Step 5: Solve for x
    x = 77,975,389,500.36/283,419.78
  6. Step 6: Final answer
    x = 275,123.32

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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.