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Finding the Fourth Proportional to 416,089.20, 624,133.80 and 389,845.20

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Solution

The fourth proportional to 416,089.20, 624,133.80 and 389,845.20 is: 584,767.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,089.20 : 624,133.80 = 389,845.20 : x
  2. Step 2: Convert to fraction form
    416,089.20/624,133.80 = 389,845.20/x
  3. Step 3: Cross multiply
    416,089.20x = 624,133.80 × 389,845.20
  4. Step 4: Simplify right side
    416,089.20x = 243,315,566,087.76
  5. Step 5: Solve for x
    x = 243,315,566,087.76/416,089.20
  6. Step 6: Final answer
    x = 584,767.80

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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.