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Finding the Fourth Proportional to 390,057.90, 585,086.85 and 201,101.10

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Solution

The fourth proportional to 390,057.90, 585,086.85 and 201,101.10 is: 301,651.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,057.90 : 585,086.85 = 201,101.10 : x
  2. Step 2: Convert to fraction form
    390,057.90/585,086.85 = 201,101.10/x
  3. Step 3: Cross multiply
    390,057.90x = 585,086.85 × 201,101.10
  4. Step 4: Simplify right side
    390,057.90x = 117,661,609,130.54
  5. Step 5: Solve for x
    x = 117,661,609,130.54/390,057.90
  6. Step 6: Final answer
    x = 301,651.65

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1.5x scale

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.