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Finding the Fourth Proportional to 284,608.34, 392,767.64 and 155,553.98

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Solution

The fourth proportional to 284,608.34, 392,767.64 and 155,553.98 is: 214,668.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,608.34 : 392,767.64 = 155,553.98 : x
  2. Step 2: Convert to fraction form
    284,608.34/392,767.64 = 155,553.98/x
  3. Step 3: Cross multiply
    284,608.34x = 392,767.64 × 155,553.98
  4. Step 4: Simplify right side
    284,608.34x = 61,096,569,617.21
  5. Step 5: Solve for x
    x = 61,096,569,617.21/284,608.34
  6. Step 6: Final answer
    x = 214,668.94

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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.