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Finding the Fourth Proportional to 313,386.50, 470,266.55 and 113,722.47

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Solution

The fourth proportional to 313,386.50, 470,266.55 and 113,722.47 is: 170,651.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,386.50 : 470,266.55 = 113,722.47 : x
  2. Step 2: Convert to fraction form
    313,386.50/470,266.55 = 113,722.47/x
  3. Step 3: Cross multiply
    313,386.50x = 470,266.55 × 113,722.47
  4. Step 4: Simplify right side
    313,386.50x = 53,479,873,055.77
  5. Step 5: Solve for x
    x = 53,479,873,055.77/313,386.50
  6. Step 6: Final answer
    x = 170,651.49

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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.