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Finding the Fourth Proportional to 225,346.21, 310,977.86 and 123,378.28

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Solution

The fourth proportional to 225,346.21, 310,977.86 and 123,378.28 is: 170,262.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,346.21 : 310,977.86 = 123,378.28 : x
  2. Step 2: Convert to fraction form
    225,346.21/310,977.86 = 123,378.28/x
  3. Step 3: Cross multiply
    225,346.21x = 310,977.86 × 123,378.28
  4. Step 4: Simplify right side
    225,346.21x = 38,367,913,484.88
  5. Step 5: Solve for x
    x = 38,367,913,484.88/225,346.21
  6. Step 6: Final answer
    x = 170,262.08

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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.