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Finding the Fourth Proportional to 934,168, 1,289,153.28 and 531,760

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Solution

The fourth proportional to 934,168, 1,289,153.28 and 531,760 is: 733,829.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    934,168 : 1,289,153.28 = 531,760 : x
  2. Step 2: Convert to fraction form
    934,168/1,289,153.28 = 531,760/x
  3. Step 3: Cross multiply
    934,168x = 1,289,153.28 × 531,760
  4. Step 4: Simplify right side
    934,168x = 685,520,148,172.80
  5. Step 5: Solve for x
    x = 685,520,148,172.80/934,168
  6. Step 6: Final answer
    x = 733,829.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.