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Finding the Fourth Proportional to 312,271.92, 430,935.30 and 169,033.14

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Solution

The fourth proportional to 312,271.92, 430,935.30 and 169,033.14 is: 233,265.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,271.92 : 430,935.30 = 169,033.14 : x
  2. Step 2: Convert to fraction form
    312,271.92/430,935.30 = 169,033.14/x
  3. Step 3: Cross multiply
    312,271.92x = 430,935.30 × 169,033.14
  4. Step 4: Simplify right side
    312,271.92x = 72,842,346,895.84
  5. Step 5: Solve for x
    x = 72,842,346,895.84/312,271.92
  6. Step 6: Final answer
    x = 233,265.76

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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.