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Finding the Fourth Proportional to 705,003.50, 973,029.08 and 399,097.28

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Solution

The fourth proportional to 705,003.50, 973,029.08 and 399,097.28 is: 550,824.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,003.50 : 973,029.08 = 399,097.28 : x
  2. Step 2: Convert to fraction form
    705,003.50/973,029.08 = 399,097.28/x
  3. Step 3: Cross multiply
    705,003.50x = 973,029.08 × 399,097.28
  4. Step 4: Simplify right side
    705,003.50x = 388,333,256,023.47
  5. Step 5: Solve for x
    x = 388,333,256,023.47/705,003.50
  6. Step 6: Final answer
    x = 550,824.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.