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Finding the Fourth Proportional to 362,640.92, 500,415.15 and 209,689.01

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Solution

The fourth proportional to 362,640.92, 500,415.15 and 209,689.01 is: 289,353.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,640.92 : 500,415.15 = 209,689.01 : x
  2. Step 2: Convert to fraction form
    362,640.92/500,415.15 = 209,689.01/x
  3. Step 3: Cross multiply
    362,640.92x = 500,415.15 × 209,689.01
  4. Step 4: Simplify right side
    362,640.92x = 104,931,558,643.54
  5. Step 5: Solve for x
    x = 104,931,558,643.54/362,640.92
  6. Step 6: Final answer
    x = 289,353.89

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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.