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Finding the Fourth Proportional to 307,858.12, 461,669.51 and 147,888.47

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Solution

The fourth proportional to 307,858.12, 461,669.51 and 147,888.47 is: 221,776.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,858.12 : 461,669.51 = 147,888.47 : x
  2. Step 2: Convert to fraction form
    307,858.12/461,669.51 = 147,888.47/x
  3. Step 3: Cross multiply
    307,858.12x = 461,669.51 × 147,888.47
  4. Step 4: Simplify right side
    307,858.12x = 68,275,599,003.44
  5. Step 5: Solve for x
    x = 68,275,599,003.44/307,858.12
  6. Step 6: Final answer
    x = 221,776.19

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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.