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Finding the Fourth Proportional to 284,970.96, 427,945.96 and 253,021.98

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Solution

The fourth proportional to 284,970.96, 427,945.96 and 253,021.98 is: 379,967.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,970.96 : 427,945.96 = 253,021.98 : x
  2. Step 2: Convert to fraction form
    284,970.96/427,945.96 = 253,021.98/x
  3. Step 3: Cross multiply
    284,970.96x = 427,945.96 × 253,021.98
  4. Step 4: Simplify right side
    284,970.96x = 108,279,732,934.46
  5. Step 5: Solve for x
    x = 108,279,732,934.46/284,970.96
  6. Step 6: Final answer
    x = 379,967.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.