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Finding the Fourth Proportional to 390,138.75, 585,208.13 and 94,650.75

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Solution

The fourth proportional to 390,138.75, 585,208.13 and 94,650.75 is: 141,976.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,138.75 : 585,208.13 = 94,650.75 : x
  2. Step 2: Convert to fraction form
    390,138.75/585,208.13 = 94,650.75/x
  3. Step 3: Cross multiply
    390,138.75x = 585,208.13 × 94,650.75
  4. Step 4: Simplify right side
    390,138.75x = 55,390,387,937.34
  5. Step 5: Solve for x
    x = 55,390,387,937.34/390,138.75
  6. Step 6: Final answer
    x = 141,976.13

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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.