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Finding the Fourth Proportional to 313,400.80, 470,408.40 and 155,807.20

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Solution

The fourth proportional to 313,400.80, 470,408.40 and 155,807.20 is: 233,863.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,400.80 : 470,408.40 = 155,807.20 : x
  2. Step 2: Convert to fraction form
    313,400.80/470,408.40 = 155,807.20/x
  3. Step 3: Cross multiply
    313,400.80x = 470,408.40 × 155,807.20
  4. Step 4: Simplify right side
    313,400.80x = 73,293,015,660.48
  5. Step 5: Solve for x
    x = 73,293,015,660.48/313,400.80
  6. Step 6: Final answer
    x = 233,863.52

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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.