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Finding the Fourth Proportional to 505,947.54, 698,293.98 and 302,008.98

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Solution

The fourth proportional to 505,947.54, 698,293.98 and 302,008.98 is: 416,823.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,947.54 : 698,293.98 = 302,008.98 : x
  2. Step 2: Convert to fraction form
    505,947.54/698,293.98 = 302,008.98/x
  3. Step 3: Cross multiply
    505,947.54x = 698,293.98 × 302,008.98
  4. Step 4: Simplify right side
    505,947.54x = 210,891,052,639.94
  5. Step 5: Solve for x
    x = 210,891,052,639.94/505,947.54
  6. Step 6: Final answer
    x = 416,823.95

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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.