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Finding the Fourth Proportional to 648,797.40, 972,029.70 and 399,187.80

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Solution

The fourth proportional to 648,797.40, 972,029.70 and 399,187.80 is: 598,064.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,797.40 : 972,029.70 = 399,187.80 : x
  2. Step 2: Convert to fraction form
    648,797.40/972,029.70 = 399,187.80/x
  3. Step 3: Cross multiply
    648,797.40x = 972,029.70 × 399,187.80
  4. Step 4: Simplify right side
    648,797.40x = 388,022,397,477.66
  5. Step 5: Solve for x
    x = 388,022,397,477.66/648,797.40
  6. Step 6: Final answer
    x = 598,064.05

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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.