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Finding the Fourth Proportional to 509,241.35, 702,460.67 and 317,922.59

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Solution

The fourth proportional to 509,241.35, 702,460.67 and 317,922.59 is: 438,550.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,241.35 : 702,460.67 = 317,922.59 : x
  2. Step 2: Convert to fraction form
    509,241.35/702,460.67 = 317,922.59/x
  3. Step 3: Cross multiply
    509,241.35x = 702,460.67 × 317,922.59
  4. Step 4: Simplify right side
    509,241.35x = 223,328,110,477.62
  5. Step 5: Solve for x
    x = 223,328,110,477.62/509,241.35
  6. Step 6: Final answer
    x = 438,550.63

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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.