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Finding the Fourth Proportional to 390,200.22, 585,300.53 and 109,717.47

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Solution

The fourth proportional to 390,200.22, 585,300.53 and 109,717.47 is: 164,576.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,200.22 : 585,300.53 = 109,717.47 : x
  2. Step 2: Convert to fraction form
    390,200.22/585,300.53 = 109,717.47/x
  3. Step 3: Cross multiply
    390,200.22x = 585,300.53 × 109,717.47
  4. Step 4: Simplify right side
    390,200.22x = 64,217,693,615.55
  5. Step 5: Solve for x
    x = 64,217,693,615.55/390,200.22
  6. Step 6: Final answer
    x = 164,576.26

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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.