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Finding the Fourth Proportional to 309,995.49, 427,742.84 and 182,653.77

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Solution

The fourth proportional to 309,995.49, 427,742.84 and 182,653.77 is: 252,032.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,995.49 : 427,742.84 = 182,653.77 : x
  2. Step 2: Convert to fraction form
    309,995.49/427,742.84 = 182,653.77/x
  3. Step 3: Cross multiply
    309,995.49x = 427,742.84 × 182,653.77
  4. Step 4: Simplify right side
    309,995.49x = 78,128,842,316.51
  5. Step 5: Solve for x
    x = 78,128,842,316.51/309,995.49
  6. Step 6: Final answer
    x = 252,032.19

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1.5x scale

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.