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Finding the Fourth Proportional to 313,305.28, 470,424.48 and 126,681.28

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Solution

The fourth proportional to 313,305.28, 470,424.48 and 126,681.28 is: 190,210.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,305.28 : 470,424.48 = 126,681.28 : x
  2. Step 2: Convert to fraction form
    313,305.28/470,424.48 = 126,681.28/x
  3. Step 3: Cross multiply
    313,305.28x = 470,424.48 × 126,681.28
  4. Step 4: Simplify right side
    313,305.28x = 59,593,975,269.73
  5. Step 5: Solve for x
    x = 59,593,975,269.73/313,305.28
  6. Step 6: Final answer
    x = 190,210.57

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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.