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Finding the Fourth Proportional to 880,393, 1,321,039.88 and 419,293

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Solution

The fourth proportional to 880,393, 1,321,039.88 and 419,293 is: 629,154.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    880,393 : 1,321,039.88 = 419,293 : x
  2. Step 2: Convert to fraction form
    880,393/1,321,039.88 = 419,293/x
  3. Step 3: Cross multiply
    880,393x = 1,321,039.88 × 419,293
  4. Step 4: Simplify right side
    880,393x = 553,902,774,404.84
  5. Step 5: Solve for x
    x = 553,902,774,404.84/880,393
  6. Step 6: Final answer
    x = 629,154.00

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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.