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Finding the Fourth Proportional to 495,672.30, 743,090.49 and 214,978.14

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Solution

The fourth proportional to 495,672.30, 743,090.49 and 214,978.14 is: 322,285.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,672.30 : 743,090.49 = 214,978.14 : x
  2. Step 2: Convert to fraction form
    495,672.30/743,090.49 = 214,978.14/x
  3. Step 3: Cross multiply
    495,672.30x = 743,090.49 × 214,978.14
  4. Step 4: Simplify right side
    495,672.30x = 159,748,211,391.89
  5. Step 5: Solve for x
    x = 159,748,211,391.89/495,672.30
  6. Step 6: Final answer
    x = 322,285.94

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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.