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Finding the Fourth Proportional to 330,431.84, 494,575.40 and 178,417.59

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Solution

The fourth proportional to 330,431.84, 494,575.40 and 178,417.59 is: 267,047.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,431.84 : 494,575.40 = 178,417.59 : x
  2. Step 2: Convert to fraction form
    330,431.84/494,575.40 = 178,417.59/x
  3. Step 3: Cross multiply
    330,431.84x = 494,575.40 × 178,417.59
  4. Step 4: Simplify right side
    330,431.84x = 88,240,949,532.67
  5. Step 5: Solve for x
    x = 88,240,949,532.67/330,431.84
  6. Step 6: Final answer
    x = 267,047.36

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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.