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Finding the Fourth Proportional to 847,026, 1,270,539 and 256,050

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Solution

The fourth proportional to 847,026, 1,270,539 and 256,050 is: 384,075

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,026 : 1,270,539 = 256,050 : x
  2. Step 2: Convert to fraction form
    847,026/1,270,539 = 256,050/x
  3. Step 3: Cross multiply
    847,026x = 1,270,539 × 256,050
  4. Step 4: Simplify right side
    847,026x = 325,321,510,950
  5. Step 5: Solve for x
    x = 325,321,510,950/847,026
  6. Step 6: Final answer
    x = 384,075

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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.