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Finding the Fourth Proportional to 305,232.40, 457,848.60 and 271,406.80

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Solution

The fourth proportional to 305,232.40, 457,848.60 and 271,406.80 is: 407,110.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,232.40 : 457,848.60 = 271,406.80 : x
  2. Step 2: Convert to fraction form
    305,232.40/457,848.60 = 271,406.80/x
  3. Step 3: Cross multiply
    305,232.40x = 457,848.60 × 271,406.80
  4. Step 4: Simplify right side
    305,232.40x = 124,263,223,410.48
  5. Step 5: Solve for x
    x = 124,263,223,410.48/305,232.40
  6. Step 6: Final answer
    x = 407,110.20

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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.