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Finding the Fourth Proportional to 284,596.49, 392,709.71 and 157,264.49

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Solution

The fourth proportional to 284,596.49, 392,709.71 and 157,264.49 is: 217,006.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,596.49 : 392,709.71 = 157,264.49 : x
  2. Step 2: Convert to fraction form
    284,596.49/392,709.71 = 157,264.49/x
  3. Step 3: Cross multiply
    284,596.49x = 392,709.71 × 157,264.49
  4. Step 4: Simplify right side
    284,596.49x = 61,759,289,511.33
  5. Step 5: Solve for x
    x = 61,759,289,511.33/284,596.49
  6. Step 6: Final answer
    x = 217,006.51

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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.