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Finding the Fourth Proportional to 285,187.05, 427,618.60 and 116,509.90

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Solution

The fourth proportional to 285,187.05, 427,618.60 and 116,509.90 is: 174,698.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,187.05 : 427,618.60 = 116,509.90 : x
  2. Step 2: Convert to fraction form
    285,187.05/427,618.60 = 116,509.90/x
  3. Step 3: Cross multiply
    285,187.05x = 427,618.60 × 116,509.90
  4. Step 4: Simplify right side
    285,187.05x = 49,821,798,963.82
  5. Step 5: Solve for x
    x = 49,821,798,963.82/285,187.05
  6. Step 6: Final answer
    x = 174,698.67

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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.