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Finding the Fourth Proportional to 419,492.86, 628,996.29 and 286,533.79

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Solution

The fourth proportional to 419,492.86, 628,996.29 and 286,533.79 is: 429,634.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,492.86 : 628,996.29 = 286,533.79 : x
  2. Step 2: Convert to fraction form
    419,492.86/628,996.29 = 286,533.79/x
  3. Step 3: Cross multiply
    419,492.86x = 628,996.29 × 286,533.79
  4. Step 4: Simplify right side
    419,492.86x = 180,228,690,869.64
  5. Step 5: Solve for x
    x = 180,228,690,869.64/419,492.86
  6. Step 6: Final answer
    x = 429,634.70

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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.