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Finding the Fourth Proportional to 284,927.07, 427,013.09 and 151,520.07

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Solution

The fourth proportional to 284,927.07, 427,013.09 and 151,520.07 is: 227,079.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,927.07 : 427,013.09 = 151,520.07 : x
  2. Step 2: Convert to fraction form
    284,927.07/427,013.09 = 151,520.07/x
  3. Step 3: Cross multiply
    284,927.07x = 427,013.09 × 151,520.07
  4. Step 4: Simplify right side
    284,927.07x = 64,701,052,530.12
  5. Step 5: Solve for x
    x = 64,701,052,530.12/284,927.07
  6. Step 6: Final answer
    x = 227,079.35

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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.