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Finding the Fourth Proportional to 570,207.82, 786,911.49 and 315,559.09

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Solution

The fourth proportional to 570,207.82, 786,911.49 and 315,559.09 is: 435,485.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,207.82 : 786,911.49 = 315,559.09 : x
  2. Step 2: Convert to fraction form
    570,207.82/786,911.49 = 315,559.09/x
  3. Step 3: Cross multiply
    570,207.82x = 786,911.49 × 315,559.09
  4. Step 4: Simplify right side
    570,207.82x = 248,317,073,694.94
  5. Step 5: Solve for x
    x = 248,317,073,694.94/570,207.82
  6. Step 6: Final answer
    x = 435,485.21

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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.