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Finding the Fourth Proportional to 659,588.49, 989,299.58 and 280,660.77

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Solution

The fourth proportional to 659,588.49, 989,299.58 and 280,660.77 is: 420,955.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,588.49 : 989,299.58 = 280,660.77 : x
  2. Step 2: Convert to fraction form
    659,588.49/989,299.58 = 280,660.77/x
  3. Step 3: Cross multiply
    659,588.49x = 989,299.58 × 280,660.77
  4. Step 4: Simplify right side
    659,588.49x = 277,657,580,480.17
  5. Step 5: Solve for x
    x = 277,657,580,480.17/659,588.49
  6. Step 6: Final answer
    x = 420,955.77

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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.