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Finding the Fourth Proportional to 390,192.60, 585,275.60 and 165,408.42

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Solution

The fourth proportional to 390,192.60, 585,275.60 and 165,408.42 is: 248,106.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,192.60 : 585,275.60 = 165,408.42 : x
  2. Step 2: Convert to fraction form
    390,192.60/585,275.60 = 165,408.42/x
  3. Step 3: Cross multiply
    390,192.60x = 585,275.60 × 165,408.42
  4. Step 4: Simplify right side
    390,192.60x = 96,809,512,260.55
  5. Step 5: Solve for x
    x = 96,809,512,260.55/390,192.60
  6. Step 6: Final answer
    x = 248,106.99

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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.