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Finding the Fourth Proportional to 286,715.67, 430,084.43 and 146,310.27

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Solution

The fourth proportional to 286,715.67, 430,084.43 and 146,310.27 is: 219,470.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,715.67 : 430,084.43 = 146,310.27 : x
  2. Step 2: Convert to fraction form
    286,715.67/430,084.43 = 146,310.27/x
  3. Step 3: Cross multiply
    286,715.67x = 430,084.43 × 146,310.27
  4. Step 4: Simplify right side
    286,715.67x = 62,925,769,076.10
  5. Step 5: Solve for x
    x = 62,925,769,076.10/286,715.67
  6. Step 6: Final answer
    x = 219,470.98

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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.