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Finding the Fourth Proportional to 284,958, 393,208.02 and 157,616.28

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Solution

The fourth proportional to 284,958, 393,208.02 and 157,616.28 is: 217,491.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,958 : 393,208.02 = 157,616.28 : x
  2. Step 2: Convert to fraction form
    284,958/393,208.02 = 157,616.28/x
  3. Step 3: Cross multiply
    284,958x = 393,208.02 × 157,616.28
  4. Step 4: Simplify right side
    284,958x = 61,975,985,378.57
  5. Step 5: Solve for x
    x = 61,975,985,378.57/284,958
  6. Step 6: Final answer
    x = 217,491.65

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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.