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Finding the Fourth Proportional to 545,954.40, 818,542.80 and 208,864.80

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Solution

The fourth proportional to 545,954.40, 818,542.80 and 208,864.80 is: 313,148.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,954.40 : 818,542.80 = 208,864.80 : x
  2. Step 2: Convert to fraction form
    545,954.40/818,542.80 = 208,864.80/x
  3. Step 3: Cross multiply
    545,954.40x = 818,542.80 × 208,864.80
  4. Step 4: Simplify right side
    545,954.40x = 170,964,778,213.44
  5. Step 5: Solve for x
    x = 170,964,778,213.44/545,954.40
  6. Step 6: Final answer
    x = 313,148.46

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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.