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Finding the Fourth Proportional to 419,730.84, 579,213.84 and 228,740.40

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Solution

The fourth proportional to 419,730.84, 579,213.84 and 228,740.40 is: 315,653.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,730.84 : 579,213.84 = 228,740.40 : x
  2. Step 2: Convert to fraction form
    419,730.84/579,213.84 = 228,740.40/x
  3. Step 3: Cross multiply
    419,730.84x = 579,213.84 × 228,740.40
  4. Step 4: Simplify right side
    419,730.84x = 132,489,605,447.14
  5. Step 5: Solve for x
    x = 132,489,605,447.14/419,730.84
  6. Step 6: Final answer
    x = 315,653.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.