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Finding the Fourth Proportional to 313,309.28, 470,430.48 and 126,685.28

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Solution

The fourth proportional to 313,309.28, 470,430.48 and 126,685.28 is: 190,216.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,309.28 : 470,430.48 = 126,685.28 : x
  2. Step 2: Convert to fraction form
    313,309.28/470,430.48 = 126,685.28/x
  3. Step 3: Cross multiply
    313,309.28x = 470,430.48 × 126,685.28
  4. Step 4: Simplify right side
    313,309.28x = 59,596,617,079.33
  5. Step 5: Solve for x
    x = 59,596,617,079.33/313,309.28
  6. Step 6: Final answer
    x = 190,216.57

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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.