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Finding the Fourth Proportional to 313,580.40, 470,209.32 and 91,935.60

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Solution

The fourth proportional to 313,580.40, 470,209.32 and 91,935.60 is: 137,856.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,580.40 : 470,209.32 = 91,935.60 : x
  2. Step 2: Convert to fraction form
    313,580.40/470,209.32 = 91,935.60/x
  3. Step 3: Cross multiply
    313,580.40x = 470,209.32 × 91,935.60
  4. Step 4: Simplify right side
    313,580.40x = 43,228,975,959.79
  5. Step 5: Solve for x
    x = 43,228,975,959.79/313,580.40
  6. Step 6: Final answer
    x = 137,856.12

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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.