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Finding the Fourth Proportional to 657,911.20, 986,290.80 and 446,864.80

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Solution

The fourth proportional to 657,911.20, 986,290.80 and 446,864.80 is: 669,905.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,911.20 : 986,290.80 = 446,864.80 : x
  2. Step 2: Convert to fraction form
    657,911.20/986,290.80 = 446,864.80/x
  3. Step 3: Cross multiply
    657,911.20x = 986,290.80 × 446,864.80
  4. Step 4: Simplify right side
    657,911.20x = 440,738,641,083.84
  5. Step 5: Solve for x
    x = 440,738,641,083.84/657,911.20
  6. Step 6: Final answer
    x = 669,905.97

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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.