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Finding the Fourth Proportional to 420,020.40, 629,957.70 and 153,643.80

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Solution

The fourth proportional to 420,020.40, 629,957.70 and 153,643.80 is: 230,439.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,020.40 : 629,957.70 = 153,643.80 : x
  2. Step 2: Convert to fraction form
    420,020.40/629,957.70 = 153,643.80/x
  3. Step 3: Cross multiply
    420,020.40x = 629,957.70 × 153,643.80
  4. Step 4: Simplify right side
    420,020.40x = 96,789,094,867.26
  5. Step 5: Solve for x
    x = 96,789,094,867.26/420,020.40
  6. Step 6: Final answer
    x = 230,439.03

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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.