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Finding the Fourth Proportional to 509,179.94, 702,668.75 and 279,737.67

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Solution

The fourth proportional to 509,179.94, 702,668.75 and 279,737.67 is: 386,038.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,179.94 : 702,668.75 = 279,737.67 : x
  2. Step 2: Convert to fraction form
    509,179.94/702,668.75 = 279,737.67/x
  3. Step 3: Cross multiply
    509,179.94x = 702,668.75 × 279,737.67
  4. Step 4: Simplify right side
    509,179.94x = 196,562,917,508.12
  5. Step 5: Solve for x
    x = 196,562,917,508.12/509,179.94
  6. Step 6: Final answer
    x = 386,038.22

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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.