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Finding the Fourth Proportional to 313,871.40, 470,799.78 and 77,216.16

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Solution

The fourth proportional to 313,871.40, 470,799.78 and 77,216.16 is: 115,822.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,871.40 : 470,799.78 = 77,216.16 : x
  2. Step 2: Convert to fraction form
    313,871.40/470,799.78 = 77,216.16/x
  3. Step 3: Cross multiply
    313,871.40x = 470,799.78 × 77,216.16
  4. Step 4: Simplify right side
    313,871.40x = 36,353,351,140.44
  5. Step 5: Solve for x
    x = 36,353,351,140.44/313,871.40
  6. Step 6: Final answer
    x = 115,822.44

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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.