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Finding the Fourth Proportional to 307,812.20, 461,718.30 and 208,020.20

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Solution

The fourth proportional to 307,812.20, 461,718.30 and 208,020.20 is: 312,030.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,812.20 : 461,718.30 = 208,020.20 : x
  2. Step 2: Convert to fraction form
    307,812.20/461,718.30 = 208,020.20/x
  3. Step 3: Cross multiply
    307,812.20x = 461,718.30 × 208,020.20
  4. Step 4: Simplify right side
    307,812.20x = 96,046,733,109.66
  5. Step 5: Solve for x
    x = 96,046,733,109.66/307,812.20
  6. Step 6: Final answer
    x = 312,030.30

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1.5x scale

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.