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Finding the Fourth Proportional to 494,878.38, 742,222.80 and 210,725.52

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Solution

The fourth proportional to 494,878.38, 742,222.80 and 210,725.52 is: 316,047.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,878.38 : 742,222.80 = 210,725.52 : x
  2. Step 2: Convert to fraction form
    494,878.38/742,222.80 = 210,725.52/x
  3. Step 3: Cross multiply
    494,878.38x = 742,222.80 × 210,725.52
  4. Step 4: Simplify right side
    494,878.38x = 156,405,285,485.86
  5. Step 5: Solve for x
    x = 156,405,285,485.86/494,878.38
  6. Step 6: Final answer
    x = 316,047.93

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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.