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Finding the Fourth Proportional to 280,041.81, 386,344.79 and 162,091.16

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Solution

The fourth proportional to 280,041.81, 386,344.79 and 162,091.16 is: 223,620.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,041.81 : 386,344.79 = 162,091.16 : x
  2. Step 2: Convert to fraction form
    280,041.81/386,344.79 = 162,091.16/x
  3. Step 3: Cross multiply
    280,041.81x = 386,344.79 × 162,091.16
  4. Step 4: Simplify right side
    280,041.81x = 62,623,072,428.88
  5. Step 5: Solve for x
    x = 62,623,072,428.88/280,041.81
  6. Step 6: Final answer
    x = 223,620.44

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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.