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Finding the Fourth Proportional to 286,474.34, 427,608.70 and 265,362.50

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Solution

The fourth proportional to 286,474.34, 427,608.70 and 265,362.50 is: 396,095.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,474.34 : 427,608.70 = 265,362.50 : x
  2. Step 2: Convert to fraction form
    286,474.34/427,608.70 = 265,362.50/x
  3. Step 3: Cross multiply
    286,474.34x = 427,608.70 × 265,362.50
  4. Step 4: Simplify right side
    286,474.34x = 113,471,313,653.75
  5. Step 5: Solve for x
    x = 113,471,313,653.75/286,474.34
  6. Step 6: Final answer
    x = 396,095.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.