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Finding the Fourth Proportional to 419,715.66, 629,342.64 and 286,746.06

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Solution

The fourth proportional to 419,715.66, 629,342.64 and 286,746.06 is: 429,961.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,715.66 : 629,342.64 = 286,746.06 : x
  2. Step 2: Convert to fraction form
    419,715.66/629,342.64 = 286,746.06/x
  3. Step 3: Cross multiply
    419,715.66x = 629,342.64 × 286,746.06
  4. Step 4: Simplify right side
    419,715.66x = 180,461,522,410.00
  5. Step 5: Solve for x
    x = 180,461,522,410.00/419,715.66
  6. Step 6: Final answer
    x = 429,961.38

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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.