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Finding the Fourth Proportional to 511,494.78, 705,904.80 and 282,096.93

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Solution

The fourth proportional to 511,494.78, 705,904.80 and 282,096.93 is: 389,316.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,494.78 : 705,904.80 = 282,096.93 : x
  2. Step 2: Convert to fraction form
    511,494.78/705,904.80 = 282,096.93/x
  3. Step 3: Cross multiply
    511,494.78x = 705,904.80 × 282,096.93
  4. Step 4: Simplify right side
    511,494.78x = 199,133,576,952.26
  5. Step 5: Solve for x
    x = 199,133,576,952.26/511,494.78
  6. Step 6: Final answer
    x = 389,316.93

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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.