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Finding the Fourth Proportional to 284,951.52, 427,485.60 and 97,938.72

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Solution

The fourth proportional to 284,951.52, 427,485.60 and 97,938.72 is: 146,928.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,951.52 : 427,485.60 = 97,938.72 : x
  2. Step 2: Convert to fraction form
    284,951.52/427,485.60 = 97,938.72/x
  3. Step 3: Cross multiply
    284,951.52x = 427,485.60 × 97,938.72
  4. Step 4: Simplify right side
    284,951.52x = 41,867,392,482.43
  5. Step 5: Solve for x
    x = 41,867,392,482.43/284,951.52
  6. Step 6: Final answer
    x = 146,928.12

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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.