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Finding the Fourth Proportional to 519,596, 717,042.48 and 281,132

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Solution

The fourth proportional to 519,596, 717,042.48 and 281,132 is: 387,962.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,596 : 717,042.48 = 281,132 : x
  2. Step 2: Convert to fraction form
    519,596/717,042.48 = 281,132/x
  3. Step 3: Cross multiply
    519,596x = 717,042.48 × 281,132
  4. Step 4: Simplify right side
    519,596x = 201,583,586,487.36
  5. Step 5: Solve for x
    x = 201,583,586,487.36/519,596
  6. Step 6: Final answer
    x = 387,962.16

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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.