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Finding the Fourth Proportional to 285,285.94, 427,970.62 and 85,622.10

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Solution

The fourth proportional to 285,285.94, 427,970.62 and 85,622.10 is: 128,445.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,285.94 : 427,970.62 = 85,622.10 : x
  2. Step 2: Convert to fraction form
    285,285.94/427,970.62 = 85,622.10/x
  3. Step 3: Cross multiply
    285,285.94x = 427,970.62 × 85,622.10
  4. Step 4: Simplify right side
    285,285.94x = 36,643,743,222.70
  5. Step 5: Solve for x
    x = 36,643,743,222.70/285,285.94
  6. Step 6: Final answer
    x = 128,445.67

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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.