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Finding the Fourth Proportional to 419,881.04, 629,756.64 and 153,579.28

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Solution

The fourth proportional to 419,881.04, 629,756.64 and 153,579.28 is: 230,345.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,881.04 : 629,756.64 = 153,579.28 : x
  2. Step 2: Convert to fraction form
    419,881.04/629,756.64 = 153,579.28/x
  3. Step 3: Cross multiply
    419,881.04x = 629,756.64 × 153,579.28
  4. Step 4: Simplify right side
    419,881.04x = 96,717,571,346.42
  5. Step 5: Solve for x
    x = 96,717,571,346.42/419,881.04
  6. Step 6: Final answer
    x = 230,345.17

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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.