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Finding the Fourth Proportional to 390,121, 585,181.74 and 94,633

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Solution

The fourth proportional to 390,121, 585,181.74 and 94,633 is: 141,949.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,121 : 585,181.74 = 94,633 : x
  2. Step 2: Convert to fraction form
    390,121/585,181.74 = 94,633/x
  3. Step 3: Cross multiply
    390,121x = 585,181.74 × 94,633
  4. Step 4: Simplify right side
    390,121x = 55,377,503,601.42
  5. Step 5: Solve for x
    x = 55,377,503,601.42/390,121
  6. Step 6: Final answer
    x = 141,949.56

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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.