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Finding the Fourth Proportional to 390,610.34, 585,911.33 and 296,419.14

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Solution

The fourth proportional to 390,610.34, 585,911.33 and 296,419.14 is: 444,625.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,610.34 : 585,911.33 = 296,419.14 : x
  2. Step 2: Convert to fraction form
    390,610.34/585,911.33 = 296,419.14/x
  3. Step 3: Cross multiply
    390,610.34x = 585,911.33 × 296,419.14
  4. Step 4: Simplify right side
    390,610.34x = 173,675,333,295.90
  5. Step 5: Solve for x
    x = 173,675,333,295.90/390,610.34
  6. Step 6: Final answer
    x = 444,625.54

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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.