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Finding the Fourth Proportional to 228,286.40, 342,466.08 and 70,477.76

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Solution

The fourth proportional to 228,286.40, 342,466.08 and 70,477.76 is: 105,727.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,286.40 : 342,466.08 = 70,477.76 : x
  2. Step 2: Convert to fraction form
    228,286.40/342,466.08 = 70,477.76/x
  3. Step 3: Cross multiply
    228,286.40x = 342,466.08 × 70,477.76
  4. Step 4: Simplify right side
    228,286.40x = 24,136,242,194.38
  5. Step 5: Solve for x
    x = 24,136,242,194.38/228,286.40
  6. Step 6: Final answer
    x = 105,727.90

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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.