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Finding the Fourth Proportional to 284,785.09, 392,999.10 and 155,723.98

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Solution

The fourth proportional to 284,785.09, 392,999.10 and 155,723.98 is: 214,896.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,785.09 : 392,999.10 = 155,723.98 : x
  2. Step 2: Convert to fraction form
    284,785.09/392,999.10 = 155,723.98/x
  3. Step 3: Cross multiply
    284,785.09x = 392,999.10 × 155,723.98
  4. Step 4: Simplify right side
    284,785.09x = 61,199,382,023.42
  5. Step 5: Solve for x
    x = 61,199,382,023.42/284,785.09
  6. Step 6: Final answer
    x = 214,896.72

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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.