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Finding the Fourth Proportional to 284,523.72, 392,658.48 and 157,196.58

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Solution

The fourth proportional to 284,523.72, 392,658.48 and 157,196.58 is: 216,939.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,523.72 : 392,658.48 = 157,196.58 : x
  2. Step 2: Convert to fraction form
    284,523.72/392,658.48 = 157,196.58/x
  3. Step 3: Cross multiply
    284,523.72x = 392,658.48 × 157,196.58
  4. Step 4: Simplify right side
    284,523.72x = 61,724,570,164.00
  5. Step 5: Solve for x
    x = 61,724,570,164.00/284,523.72
  6. Step 6: Final answer
    x = 216,939.98

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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.