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Finding the Fourth Proportional to 421,886.93, 582,205.49 and 228,294.62

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Solution

The fourth proportional to 421,886.93, 582,205.49 and 228,294.62 is: 315,047.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,886.93 : 582,205.49 = 228,294.62 : x
  2. Step 2: Convert to fraction form
    421,886.93/582,205.49 = 228,294.62/x
  3. Step 3: Cross multiply
    421,886.93x = 582,205.49 × 228,294.62
  4. Step 4: Simplify right side
    421,886.93x = 132,914,380,088.34
  5. Step 5: Solve for x
    x = 132,914,380,088.34/421,886.93
  6. Step 6: Final answer
    x = 315,047.40

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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.