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Finding the Fourth Proportional to 308,928.22, 463,302.81 and 92,778.25

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Solution

The fourth proportional to 308,928.22, 463,302.81 and 92,778.25 is: 139,140.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,928.22 : 463,302.81 = 92,778.25 : x
  2. Step 2: Convert to fraction form
    308,928.22/463,302.81 = 92,778.25/x
  3. Step 3: Cross multiply
    308,928.22x = 463,302.81 × 92,778.25
  4. Step 4: Simplify right side
    308,928.22x = 42,984,423,931.88
  5. Step 5: Solve for x
    x = 42,984,423,931.88/308,928.22
  6. Step 6: Final answer
    x = 139,140.49

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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.