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Finding the Fourth Proportional to 313,989.46, 470,918.24 and 103,578.10

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Solution

The fourth proportional to 313,989.46, 470,918.24 and 103,578.10 is: 155,345.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,989.46 : 470,918.24 = 103,578.10 : x
  2. Step 2: Convert to fraction form
    313,989.46/470,918.24 = 103,578.10/x
  3. Step 3: Cross multiply
    313,989.46x = 470,918.24 × 103,578.10
  4. Step 4: Simplify right side
    313,989.46x = 48,776,816,554.54
  5. Step 5: Solve for x
    x = 48,776,816,554.54/313,989.46
  6. Step 6: Final answer
    x = 155,345.39

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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.