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Finding the Fourth Proportional to 494,830.30, 742,245.45 and 214,894.30

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Solution

The fourth proportional to 494,830.30, 742,245.45 and 214,894.30 is: 322,341.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,830.30 : 742,245.45 = 214,894.30 : x
  2. Step 2: Convert to fraction form
    494,830.30/742,245.45 = 214,894.30/x
  3. Step 3: Cross multiply
    494,830.30x = 742,245.45 × 214,894.30
  4. Step 4: Simplify right side
    494,830.30x = 159,504,316,405.94
  5. Step 5: Solve for x
    x = 159,504,316,405.94/494,830.30
  6. Step 6: Final answer
    x = 322,341.45

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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.