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Finding the Fourth Proportional to 509,354.82, 702,928.62 and 305,438.94

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Solution

The fourth proportional to 509,354.82, 702,928.62 and 305,438.94 is: 421,517.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,354.82 : 702,928.62 = 305,438.94 : x
  2. Step 2: Convert to fraction form
    509,354.82/702,928.62 = 305,438.94/x
  3. Step 3: Cross multiply
    509,354.82x = 702,928.62 × 305,438.94
  4. Step 4: Simplify right side
    509,354.82x = 214,701,772,588.46
  5. Step 5: Solve for x
    x = 214,701,772,588.46/509,354.82
  6. Step 6: Final answer
    x = 421,517.11

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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.