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Finding the Fourth Proportional to 286,630.89, 430,007.50 and 97,084.62

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Solution

The fourth proportional to 286,630.89, 430,007.50 and 97,084.62 is: 145,647.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,630.89 : 430,007.50 = 97,084.62 : x
  2. Step 2: Convert to fraction form
    286,630.89/430,007.50 = 97,084.62/x
  3. Step 3: Cross multiply
    286,630.89x = 430,007.50 × 97,084.62
  4. Step 4: Simplify right side
    286,630.89x = 41,747,114,734.65
  5. Step 5: Solve for x
    x = 41,747,114,734.65/286,630.89
  6. Step 6: Final answer
    x = 145,647.65

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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.