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Finding the Fourth Proportional to 313,668.16, 470,237.74 and 136,041.38

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Solution

The fourth proportional to 313,668.16, 470,237.74 and 136,041.38 is: 203,947.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,668.16 : 470,237.74 = 136,041.38 : x
  2. Step 2: Convert to fraction form
    313,668.16/470,237.74 = 136,041.38/x
  3. Step 3: Cross multiply
    313,668.16x = 470,237.74 × 136,041.38
  4. Step 4: Simplify right side
    313,668.16x = 63,971,790,149.78
  5. Step 5: Solve for x
    x = 63,971,790,149.78/313,668.16
  6. Step 6: Final answer
    x = 203,947.35

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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.