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Finding the Fourth Proportional to 519,888, 717,447.36 and 281,424

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Solution

The fourth proportional to 519,888, 717,447.36 and 281,424 is: 388,366.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,888 : 717,447.36 = 281,424 : x
  2. Step 2: Convert to fraction form
    519,888/717,447.36 = 281,424/x
  3. Step 3: Cross multiply
    519,888x = 717,447.36 × 281,424
  4. Step 4: Simplify right side
    519,888x = 201,906,905,840.64
  5. Step 5: Solve for x
    x = 201,906,905,840.64/519,888
  6. Step 6: Final answer
    x = 388,366.16

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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.