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Finding the Fourth Proportional to 260,290.31, 390,459.15 and 100,314.90

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Solution

The fourth proportional to 260,290.31, 390,459.15 and 100,314.90 is: 150,481.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,290.31 : 390,459.15 = 100,314.90 : x
  2. Step 2: Convert to fraction form
    260,290.31/390,459.15 = 100,314.90/x
  3. Step 3: Cross multiply
    260,290.31x = 390,459.15 × 100,314.90
  4. Step 4: Simplify right side
    260,290.31x = 39,168,870,586.34
  5. Step 5: Solve for x
    x = 39,168,870,586.34/260,290.31
  6. Step 6: Final answer
    x = 150,481.48

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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.