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Finding the Fourth Proportional to 648,794.40, 972,025.20 and 399,184.80

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Solution

The fourth proportional to 648,794.40, 972,025.20 and 399,184.80 is: 598,059.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,794.40 : 972,025.20 = 399,184.80 : x
  2. Step 2: Convert to fraction form
    648,794.40/972,025.20 = 399,184.80/x
  3. Step 3: Cross multiply
    648,794.40x = 972,025.20 × 399,184.80
  4. Step 4: Simplify right side
    648,794.40x = 388,017,685,056.96
  5. Step 5: Solve for x
    x = 388,017,685,056.96/648,794.40
  6. Step 6: Final answer
    x = 598,059.55

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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.