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Finding the Fourth Proportional to 512,268.92, 706,927.80 and 282,840.50

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Solution

The fourth proportional to 512,268.92, 706,927.80 and 282,840.50 is: 390,318.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,268.92 : 706,927.80 = 282,840.50 : x
  2. Step 2: Convert to fraction form
    512,268.92/706,927.80 = 282,840.50/x
  3. Step 3: Cross multiply
    512,268.92x = 706,927.80 × 282,840.50
  4. Step 4: Simplify right side
    512,268.92x = 199,947,815,243.87
  5. Step 5: Solve for x
    x = 199,947,815,243.87/512,268.92
  6. Step 6: Final answer
    x = 390,318.07

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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.