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Finding the Fourth Proportional to 557,368.03, 769,120.92 and 309,016.62

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Solution

The fourth proportional to 557,368.03, 769,120.92 and 309,016.62 is: 426,416.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,368.03 : 769,120.92 = 309,016.62 : x
  2. Step 2: Convert to fraction form
    557,368.03/769,120.92 = 309,016.62/x
  3. Step 3: Cross multiply
    557,368.03x = 769,120.92 × 309,016.62
  4. Step 4: Simplify right side
    557,368.03x = 237,671,147,069.69
  5. Step 5: Solve for x
    x = 237,671,147,069.69/557,368.03
  6. Step 6: Final answer
    x = 426,416.90

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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.