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Finding the Fourth Proportional to 284,604.84, 392,747.94 and 155,537.62

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Solution

The fourth proportional to 284,604.84, 392,747.94 and 155,537.62 is: 214,638.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,604.84 : 392,747.94 = 155,537.62 : x
  2. Step 2: Convert to fraction form
    284,604.84/392,747.94 = 155,537.62/x
  3. Step 3: Cross multiply
    284,604.84x = 392,747.94 × 155,537.62
  4. Step 4: Simplify right side
    284,604.84x = 61,087,078,865.63
  5. Step 5: Solve for x
    x = 61,087,078,865.63/284,604.84
  6. Step 6: Final answer
    x = 214,638.23

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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.