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Finding the Fourth Proportional to 286,858.17, 430,289.01 and 99,869.67

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Solution

The fourth proportional to 286,858.17, 430,289.01 and 99,869.67 is: 149,805.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,858.17 : 430,289.01 = 99,869.67 : x
  2. Step 2: Convert to fraction form
    286,858.17/430,289.01 = 99,869.67/x
  3. Step 3: Cross multiply
    286,858.17x = 430,289.01 × 99,869.67
  4. Step 4: Simplify right side
    286,858.17x = 42,972,821,433.33
  5. Step 5: Solve for x
    x = 42,972,821,433.33/286,858.17
  6. Step 6: Final answer
    x = 149,805.12

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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.