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Finding the Fourth Proportional to 390,069.42, 585,074.94 and 140,751.42

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Solution

The fourth proportional to 390,069.42, 585,074.94 and 140,751.42 is: 211,116.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,069.42 : 585,074.94 = 140,751.42 : x
  2. Step 2: Convert to fraction form
    390,069.42/585,074.94 = 140,751.42/x
  3. Step 3: Cross multiply
    390,069.42x = 585,074.94 × 140,751.42
  4. Step 4: Simplify right side
    390,069.42x = 82,350,128,611.41
  5. Step 5: Solve for x
    x = 82,350,128,611.41/390,069.42
  6. Step 6: Final answer
    x = 211,116.60

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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.