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Finding the Fourth Proportional to 283,293.96, 390,948.03 and 154,233.32

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Solution

The fourth proportional to 283,293.96, 390,948.03 and 154,233.32 is: 212,843.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,293.96 : 390,948.03 = 154,233.32 : x
  2. Step 2: Convert to fraction form
    283,293.96/390,948.03 = 154,233.32/x
  3. Step 3: Cross multiply
    283,293.96x = 390,948.03 × 154,233.32
  4. Step 4: Simplify right side
    283,293.96x = 60,297,213,013.35
  5. Step 5: Solve for x
    x = 60,297,213,013.35/283,293.96
  6. Step 6: Final answer
    x = 212,843.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.