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Finding the Fourth Proportional to 920,607, 1,380,927.78 and 255,776.28

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Solution

The fourth proportional to 920,607, 1,380,927.78 and 255,776.28 is: 383,669.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    920,607 : 1,380,927.78 = 255,776.28 : x
  2. Step 2: Convert to fraction form
    920,607/1,380,927.78 = 255,776.28/x
  3. Step 3: Cross multiply
    920,607x = 1,380,927.78 × 255,776.28
  4. Step 4: Simplify right side
    920,607x = 353,208,570,517.06
  5. Step 5: Solve for x
    x = 353,208,570,517.06/920,607
  6. Step 6: Final answer
    x = 383,669.22

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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.