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Finding the Fourth Proportional to 357,851.48, 493,787.27 and 221,835.88

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Solution

The fourth proportional to 357,851.48, 493,787.27 and 221,835.88 is: 306,103.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,851.48 : 493,787.27 = 221,835.88 : x
  2. Step 2: Convert to fraction form
    357,851.48/493,787.27 = 221,835.88/x
  3. Step 3: Cross multiply
    357,851.48x = 493,787.27 × 221,835.88
  4. Step 4: Simplify right side
    357,851.48x = 109,539,732,893.37
  5. Step 5: Solve for x
    x = 109,539,732,893.37/357,851.48
  6. Step 6: Final answer
    x = 306,103.90

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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.