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Finding the Fourth Proportional to 920,598, 1,380,914.28 and 255,767.28

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Solution

The fourth proportional to 920,598, 1,380,914.28 and 255,767.28 is: 383,655.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    920,598 : 1,380,914.28 = 255,767.28 : x
  2. Step 2: Convert to fraction form
    920,598/1,380,914.28 = 255,767.28/x
  3. Step 3: Cross multiply
    920,598x = 1,380,914.28 × 255,767.28
  4. Step 4: Simplify right side
    920,598x = 353,192,689,308.76
  5. Step 5: Solve for x
    x = 353,192,689,308.76/920,598
  6. Step 6: Final answer
    x = 383,655.72

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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.