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Finding the Fourth Proportional to 265,271.40, 397,907.10 and 212,783.40

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Solution

The fourth proportional to 265,271.40, 397,907.10 and 212,783.40 is: 319,175.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,271.40 : 397,907.10 = 212,783.40 : x
  2. Step 2: Convert to fraction form
    265,271.40/397,907.10 = 212,783.40/x
  3. Step 3: Cross multiply
    265,271.40x = 397,907.10 × 212,783.40
  4. Step 4: Simplify right side
    265,271.40x = 84,668,025,622.14
  5. Step 5: Solve for x
    x = 84,668,025,622.14/265,271.40
  6. Step 6: Final answer
    x = 319,175.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.