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Finding the Fourth Proportional to 313,880.15, 470,749.23 and 89,235.60

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Solution

The fourth proportional to 313,880.15, 470,749.23 and 89,235.60 is: 133,833.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,880.15 : 470,749.23 = 89,235.60 : x
  2. Step 2: Convert to fraction form
    313,880.15/470,749.23 = 89,235.60/x
  3. Step 3: Cross multiply
    313,880.15x = 470,749.23 × 89,235.60
  4. Step 4: Simplify right side
    313,880.15x = 42,007,589,988.59
  5. Step 5: Solve for x
    x = 42,007,589,988.59/313,880.15
  6. Step 6: Final answer
    x = 133,833.22

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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.