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Finding the Fourth Proportional to 357,999.13, 493,915.86 and 221,984.11

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Solution

The fourth proportional to 357,999.13, 493,915.86 and 221,984.11 is: 306,261.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,999.13 : 493,915.86 = 221,984.11 : x
  2. Step 2: Convert to fraction form
    357,999.13/493,915.86 = 221,984.11/x
  3. Step 3: Cross multiply
    357,999.13x = 493,915.86 × 221,984.11
  4. Step 4: Simplify right side
    357,999.13x = 109,641,472,596.99
  5. Step 5: Solve for x
    x = 109,641,472,596.99/357,999.13
  6. Step 6: Final answer
    x = 306,261.84

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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.