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Finding the Fourth Proportional to 496,151, 684,688.37 and 281,291.06

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Solution

The fourth proportional to 496,151, 684,688.37 and 281,291.06 is: 388,181.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,151 : 684,688.37 = 281,291.06 : x
  2. Step 2: Convert to fraction form
    496,151/684,688.37 = 281,291.06/x
  3. Step 3: Cross multiply
    496,151x = 684,688.37 × 281,291.06
  4. Step 4: Simplify right side
    496,151x = 192,596,717,366.97
  5. Step 5: Solve for x
    x = 192,596,717,366.97/496,151
  6. Step 6: Final answer
    x = 388,181.66

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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.