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Finding the Fourth Proportional to 315,075.92, 434,654.70 and 213,137.06

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Solution

The fourth proportional to 315,075.92, 434,654.70 and 213,137.06 is: 294,027.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,075.92 : 434,654.70 = 213,137.06 : x
  2. Step 2: Convert to fraction form
    315,075.92/434,654.70 = 213,137.06/x
  3. Step 3: Cross multiply
    315,075.92x = 434,654.70 × 213,137.06
  4. Step 4: Simplify right side
    315,075.92x = 92,641,024,873.18
  5. Step 5: Solve for x
    x = 92,641,024,873.18/315,075.92
  6. Step 6: Final answer
    x = 294,027.63

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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.