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Finding the Fourth Proportional to 426,196.40, 639,294.60 and 177,364.40

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Solution

The fourth proportional to 426,196.40, 639,294.60 and 177,364.40 is: 266,046.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,196.40 : 639,294.60 = 177,364.40 : x
  2. Step 2: Convert to fraction form
    426,196.40/639,294.60 = 177,364.40/x
  3. Step 3: Cross multiply
    426,196.40x = 639,294.60 × 177,364.40
  4. Step 4: Simplify right side
    426,196.40x = 113,388,103,152.24
  5. Step 5: Solve for x
    x = 113,388,103,152.24/426,196.40
  6. Step 6: Final answer
    x = 266,046.60

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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.