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Finding the Fourth Proportional to 381,117, 525,903.66 and 220,024.02

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Solution

The fourth proportional to 381,117, 525,903.66 and 220,024.02 is: 303,611.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,117 : 525,903.66 = 220,024.02 : x
  2. Step 2: Convert to fraction form
    381,117/525,903.66 = 220,024.02/x
  3. Step 3: Cross multiply
    381,117x = 525,903.66 × 220,024.02
  4. Step 4: Simplify right side
    381,117x = 115,711,437,405.91
  5. Step 5: Solve for x
    x = 115,711,437,405.91/381,117
  6. Step 6: Final answer
    x = 303,611.33

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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.