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Finding the Fourth Proportional to 217,878.40, 326,817.60 and 99,780.40

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Solution

The fourth proportional to 217,878.40, 326,817.60 and 99,780.40 is: 149,670.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,878.40 : 326,817.60 = 99,780.40 : x
  2. Step 2: Convert to fraction form
    217,878.40/326,817.60 = 99,780.40/x
  3. Step 3: Cross multiply
    217,878.40x = 326,817.60 × 99,780.40
  4. Step 4: Simplify right side
    217,878.40x = 32,609,990,855.04
  5. Step 5: Solve for x
    x = 32,609,990,855.04/217,878.40
  6. Step 6: Final answer
    x = 149,670.60

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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.