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Finding the Fourth Proportional to 390,615.22, 585,921.12 and 165,941.20

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Solution

The fourth proportional to 390,615.22, 585,921.12 and 165,941.20 is: 248,911.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,615.22 : 585,921.12 = 165,941.20 : x
  2. Step 2: Convert to fraction form
    390,615.22/585,921.12 = 165,941.20/x
  3. Step 3: Cross multiply
    390,615.22x = 585,921.12 × 165,941.20
  4. Step 4: Simplify right side
    390,615.22x = 97,228,453,758.14
  5. Step 5: Solve for x
    x = 97,228,453,758.14/390,615.22
  6. Step 6: Final answer
    x = 248,911.07

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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.