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Finding the Fourth Proportional to 358,213.93, 494,405.89 and 205,354.77

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Solution

The fourth proportional to 358,213.93, 494,405.89 and 205,354.77 is: 283,430.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,213.93 : 494,405.89 = 205,354.77 : x
  2. Step 2: Convert to fraction form
    358,213.93/494,405.89 = 205,354.77/x
  3. Step 3: Cross multiply
    358,213.93x = 494,405.89 × 205,354.77
  4. Step 4: Simplify right side
    358,213.93x = 101,528,607,827.60
  5. Step 5: Solve for x
    x = 101,528,607,827.60/358,213.93
  6. Step 6: Final answer
    x = 283,430.09

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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.