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Finding the Fourth Proportional to 320,435.40, 480,653.10 and 133,422.60

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Solution

The fourth proportional to 320,435.40, 480,653.10 and 133,422.60 is: 200,133.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,435.40 : 480,653.10 = 133,422.60 : x
  2. Step 2: Convert to fraction form
    320,435.40/480,653.10 = 133,422.60/x
  3. Step 3: Cross multiply
    320,435.40x = 480,653.10 × 133,422.60
  4. Step 4: Simplify right side
    320,435.40x = 64,129,986,300.06
  5. Step 5: Solve for x
    x = 64,129,986,300.06/320,435.40
  6. Step 6: Final answer
    x = 200,133.90

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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.