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Finding the Fourth Proportional to 284,631.70, 426,956.19 and 97,640.50

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Solution

The fourth proportional to 284,631.70, 426,956.19 and 97,640.50 is: 146,463.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,631.70 : 426,956.19 = 97,640.50 : x
  2. Step 2: Convert to fraction form
    284,631.70/426,956.19 = 97,640.50/x
  3. Step 3: Cross multiply
    284,631.70x = 426,956.19 × 97,640.50
  4. Step 4: Simplify right side
    284,631.70x = 41,688,215,869.70
  5. Step 5: Solve for x
    x = 41,688,215,869.70/284,631.70
  6. Step 6: Final answer
    x = 146,463.71

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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.