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Finding the Fourth Proportional to 313,437.80, 470,232.30 and 103,064.60

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Solution

The fourth proportional to 313,437.80, 470,232.30 and 103,064.60 is: 154,621.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,437.80 : 470,232.30 = 103,064.60 : x
  2. Step 2: Convert to fraction form
    313,437.80/470,232.30 = 103,064.60/x
  3. Step 3: Cross multiply
    313,437.80x = 470,232.30 × 103,064.60
  4. Step 4: Simplify right side
    313,437.80x = 48,464,303,906.58
  5. Step 5: Solve for x
    x = 48,464,303,906.58/313,437.80
  6. Step 6: Final answer
    x = 154,621.76

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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.