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Finding the Fourth Proportional to 307,214.64, 423,965.20 and 179,878.32

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Solution

The fourth proportional to 307,214.64, 423,965.20 and 179,878.32 is: 248,237.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,214.64 : 423,965.20 = 179,878.32 : x
  2. Step 2: Convert to fraction form
    307,214.64/423,965.20 = 179,878.32/x
  3. Step 3: Cross multiply
    307,214.64x = 423,965.20 × 179,878.32
  4. Step 4: Simplify right side
    307,214.64x = 76,262,147,914.46
  5. Step 5: Solve for x
    x = 76,262,147,914.46/307,214.64
  6. Step 6: Final answer
    x = 248,237.35

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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.