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Finding the Fourth Proportional to 519,656.50, 717,128.13 and 281,192.50

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Solution

The fourth proportional to 519,656.50, 717,128.13 and 281,192.50 is: 388,046.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,656.50 : 717,128.13 = 281,192.50 : x
  2. Step 2: Convert to fraction form
    519,656.50/717,128.13 = 281,192.50/x
  3. Step 3: Cross multiply
    519,656.50x = 717,128.13 × 281,192.50
  4. Step 4: Simplify right side
    519,656.50x = 201,651,051,695.03
  5. Step 5: Solve for x
    x = 201,651,051,695.03/519,656.50
  6. Step 6: Final answer
    x = 388,046.82

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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.