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Finding the Fourth Proportional to 313,549.12, 470,332.62 and 76,891.60

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Solution

The fourth proportional to 313,549.12, 470,332.62 and 76,891.60 is: 115,339.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,549.12 : 470,332.62 = 76,891.60 : x
  2. Step 2: Convert to fraction form
    313,549.12/470,332.62 = 76,891.60/x
  3. Step 3: Cross multiply
    313,549.12x = 470,332.62 × 76,891.60
  4. Step 4: Simplify right side
    313,549.12x = 36,164,627,683.99
  5. Step 5: Solve for x
    x = 36,164,627,683.99/313,549.12
  6. Step 6: Final answer
    x = 115,339.59

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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.