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Finding the Fourth Proportional to 505,830.69, 758,778.84 and 150,880.59

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Solution

The fourth proportional to 505,830.69, 758,778.84 and 150,880.59 is: 226,330.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,830.69 : 758,778.84 = 150,880.59 : x
  2. Step 2: Convert to fraction form
    505,830.69/758,778.84 = 150,880.59/x
  3. Step 3: Cross multiply
    505,830.69x = 758,778.84 × 150,880.59
  4. Step 4: Simplify right side
    505,830.69x = 114,484,999,058.72
  5. Step 5: Solve for x
    x = 114,484,999,058.72/505,830.69
  6. Step 6: Final answer
    x = 226,330.67

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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.