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Finding the Fourth Proportional to 465,945.80, 697,305.90 and 279,091.40

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Solution

The fourth proportional to 465,945.80, 697,305.90 and 279,091.40 is: 417,671.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,945.80 : 697,305.90 = 279,091.40 : x
  2. Step 2: Convert to fraction form
    465,945.80/697,305.90 = 279,091.40/x
  3. Step 3: Cross multiply
    465,945.80x = 697,305.90 × 279,091.40
  4. Step 4: Simplify right side
    465,945.80x = 194,612,079,859.26
  5. Step 5: Solve for x
    x = 194,612,079,859.26/465,945.80
  6. Step 6: Final answer
    x = 417,671.07

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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.