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Finding the Fourth Proportional to 390,154, 585,231.28 and 94,666

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Solution

The fourth proportional to 390,154, 585,231.28 and 94,666 is: 141,999.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,154 : 585,231.28 = 94,666 : x
  2. Step 2: Convert to fraction form
    390,154/585,231.28 = 94,666/x
  3. Step 3: Cross multiply
    390,154x = 585,231.28 × 94,666
  4. Step 4: Simplify right side
    390,154x = 55,401,504,352.48
  5. Step 5: Solve for x
    x = 55,401,504,352.48/390,154
  6. Step 6: Final answer
    x = 141,999.07

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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.