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Finding the Fourth Proportional to 307,206.63, 423,954.14 and 179,870.31

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Solution

The fourth proportional to 307,206.63, 423,954.14 and 179,870.31 is: 248,226.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,206.63 : 423,954.14 = 179,870.31 : x
  2. Step 2: Convert to fraction form
    307,206.63/423,954.14 = 179,870.31/x
  3. Step 3: Cross multiply
    307,206.63x = 423,954.14 × 179,870.31
  4. Step 4: Simplify right side
    307,206.63x = 76,256,761,688.23
  5. Step 5: Solve for x
    x = 76,256,761,688.23/307,206.63
  6. Step 6: Final answer
    x = 248,226.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.