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Finding the Fourth Proportional to 390,065.40, 585,098.10 and 201,108.60

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Solution

The fourth proportional to 390,065.40, 585,098.10 and 201,108.60 is: 301,662.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,065.40 : 585,098.10 = 201,108.60 : x
  2. Step 2: Convert to fraction form
    390,065.40/585,098.10 = 201,108.60/x
  3. Step 3: Cross multiply
    390,065.40x = 585,098.10 × 201,108.60
  4. Step 4: Simplify right side
    390,065.40x = 117,668,259,753.66
  5. Step 5: Solve for x
    x = 117,668,259,753.66/390,065.40
  6. Step 6: Final answer
    x = 301,662.90

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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.