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Finding the Fourth Proportional to 390,009.54, 585,083.43 and 146,845.38

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Solution

The fourth proportional to 390,009.54, 585,083.43 and 146,845.38 is: 220,294.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,009.54 : 585,083.43 = 146,845.38 : x
  2. Step 2: Convert to fraction form
    390,009.54/585,083.43 = 146,845.38/x
  3. Step 3: Cross multiply
    390,009.54x = 585,083.43 × 146,845.38
  4. Step 4: Simplify right side
    390,009.54x = 85,916,798,610.05
  5. Step 5: Solve for x
    x = 85,916,798,610.05/390,009.54
  6. Step 6: Final answer
    x = 220,294.09

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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.