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Finding the Fourth Proportional to 313,984.24, 470,992.65 and 103,638.58

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Solution

The fourth proportional to 313,984.24, 470,992.65 and 103,638.58 is: 155,463.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,984.24 : 470,992.65 = 103,638.58 : x
  2. Step 2: Convert to fraction form
    313,984.24/470,992.65 = 103,638.58/x
  3. Step 3: Cross multiply
    313,984.24x = 470,992.65 × 103,638.58
  4. Step 4: Simplify right side
    313,984.24x = 48,813,009,436.44
  5. Step 5: Solve for x
    x = 48,813,009,436.44/313,984.24
  6. Step 6: Final answer
    x = 155,463.25

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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.