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Finding the Fourth Proportional to 419,833.40, 629,750.10 and 153,602.60

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Solution

The fourth proportional to 419,833.40, 629,750.10 and 153,602.60 is: 230,403.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,833.40 : 629,750.10 = 153,602.60 : x
  2. Step 2: Convert to fraction form
    419,833.40/629,750.10 = 153,602.60/x
  3. Step 3: Cross multiply
    419,833.40x = 629,750.10 × 153,602.60
  4. Step 4: Simplify right side
    419,833.40x = 96,731,252,710.26
  5. Step 5: Solve for x
    x = 96,731,252,710.26/419,833.40
  6. Step 6: Final answer
    x = 230,403.90

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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.