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Finding the Fourth Proportional to 386,415.49, 579,790.10 and 209,047.45

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Solution

The fourth proportional to 386,415.49, 579,790.10 and 209,047.45 is: 313,661.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,415.49 : 579,790.10 = 209,047.45 : x
  2. Step 2: Convert to fraction form
    386,415.49/579,790.10 = 209,047.45/x
  3. Step 3: Cross multiply
    386,415.49x = 579,790.10 × 209,047.45
  4. Step 4: Simplify right side
    386,415.49x = 121,203,640,895.01
  5. Step 5: Solve for x
    x = 121,203,640,895.01/386,415.49
  6. Step 6: Final answer
    x = 313,661.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.