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Finding the Fourth Proportional to 281,973.96, 389,129.40 and 154,656

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Solution

The fourth proportional to 281,973.96, 389,129.40 and 154,656 is: 213,428.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,973.96 : 389,129.40 = 154,656 : x
  2. Step 2: Convert to fraction form
    281,973.96/389,129.40 = 154,656/x
  3. Step 3: Cross multiply
    281,973.96x = 389,129.40 × 154,656
  4. Step 4: Simplify right side
    281,973.96x = 60,181,196,486.40
  5. Step 5: Solve for x
    x = 60,181,196,486.40/281,973.96
  6. Step 6: Final answer
    x = 213,428.21

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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.