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Finding the Fourth Proportional to 390,456.27, 585,774.62 and 165,824.03

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Solution

The fourth proportional to 390,456.27, 585,774.62 and 165,824.03 is: 248,774.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,456.27 : 585,774.62 = 165,824.03 : x
  2. Step 2: Convert to fraction form
    390,456.27/585,774.62 = 165,824.03/x
  3. Step 3: Cross multiply
    390,456.27x = 585,774.62 × 165,824.03
  4. Step 4: Simplify right side
    390,456.27x = 97,135,509,417.28
  5. Step 5: Solve for x
    x = 97,135,509,417.28/390,456.27
  6. Step 6: Final answer
    x = 248,774.36

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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.