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Finding the Fourth Proportional to 305,438.40, 458,449.20 and 155,847.60

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Solution

The fourth proportional to 305,438.40, 458,449.20 and 155,847.60 is: 233,920.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,438.40 : 458,449.20 = 155,847.60 : x
  2. Step 2: Convert to fraction form
    305,438.40/458,449.20 = 155,847.60/x
  3. Step 3: Cross multiply
    305,438.40x = 458,449.20 × 155,847.60
  4. Step 4: Simplify right side
    305,438.40x = 71,448,207,541.92
  5. Step 5: Solve for x
    x = 71,448,207,541.92/305,438.40
  6. Step 6: Final answer
    x = 233,920.19

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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.