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Finding the Fourth Proportional to 778,967.75, 1,074,978.75 and 421,271.75

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Solution

The fourth proportional to 778,967.75, 1,074,978.75 and 421,271.75 is: 581,356.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,967.75 : 1,074,978.75 = 421,271.75 : x
  2. Step 2: Convert to fraction form
    778,967.75/1,074,978.75 = 421,271.75/x
  3. Step 3: Cross multiply
    778,967.75x = 1,074,978.75 × 421,271.75
  4. Step 4: Simplify right side
    778,967.75x = 452,858,179,225.31
  5. Step 5: Solve for x
    x = 452,858,179,225.31/778,967.75
  6. Step 6: Final answer
    x = 581,356.78

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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.