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Finding the Fourth Proportional to 420,004.49, 629,809.70 and 153,578.70

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Solution

The fourth proportional to 420,004.49, 629,809.70 and 153,578.70 is: 230,296.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,004.49 : 629,809.70 = 153,578.70 : x
  2. Step 2: Convert to fraction form
    420,004.49/629,809.70 = 153,578.70/x
  3. Step 3: Cross multiply
    420,004.49x = 629,809.70 × 153,578.70
  4. Step 4: Simplify right side
    420,004.49x = 96,725,354,205.50
  5. Step 5: Solve for x
    x = 96,725,354,205.50/420,004.49
  6. Step 6: Final answer
    x = 230,296.00

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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.