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Finding the Fourth Proportional to 419,792.40, 629,688.60 and 153,561.60

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Solution

The fourth proportional to 419,792.40, 629,688.60 and 153,561.60 is: 230,342.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,792.40 : 629,688.60 = 153,561.60 : x
  2. Step 2: Convert to fraction form
    419,792.40/629,688.60 = 153,561.60/x
  3. Step 3: Cross multiply
    419,792.40x = 629,688.60 × 153,561.60
  4. Step 4: Simplify right side
    419,792.40x = 96,695,988,917.76
  5. Step 5: Solve for x
    x = 96,695,988,917.76/419,792.40
  6. Step 6: Final answer
    x = 230,342.40

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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.