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Finding the Fourth Proportional to 401,811.88, 602,914.50 and 161,915.80

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Solution

The fourth proportional to 401,811.88, 602,914.50 and 161,915.80 is: 242,952.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,811.88 : 602,914.50 = 161,915.80 : x
  2. Step 2: Convert to fraction form
    401,811.88/602,914.50 = 161,915.80/x
  3. Step 3: Cross multiply
    401,811.88x = 602,914.50 × 161,915.80
  4. Step 4: Simplify right side
    401,811.88x = 97,621,383,599.10
  5. Step 5: Solve for x
    x = 97,621,383,599.10/401,811.88
  6. Step 6: Final answer
    x = 242,952.95

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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.