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Finding the Fourth Proportional to 519,592, 717,036.96 and 281,128

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Solution

The fourth proportional to 519,592, 717,036.96 and 281,128 is: 387,956.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,592 : 717,036.96 = 281,128 : x
  2. Step 2: Convert to fraction form
    519,592/717,036.96 = 281,128/x
  3. Step 3: Cross multiply
    519,592x = 717,036.96 × 281,128
  4. Step 4: Simplify right side
    519,592x = 201,579,166,490.88
  5. Step 5: Solve for x
    x = 201,579,166,490.88/519,592
  6. Step 6: Final answer
    x = 387,956.64

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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.