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Finding the Fourth Proportional to 509,399.61, 702,977.84 and 279,981.96

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Solution

The fourth proportional to 509,399.61, 702,977.84 and 279,981.96 is: 386,378.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,399.61 : 702,977.84 = 279,981.96 : x
  2. Step 2: Convert to fraction form
    509,399.61/702,977.84 = 279,981.96/x
  3. Step 3: Cross multiply
    509,399.61x = 702,977.84 × 279,981.96
  4. Step 4: Simplify right side
    509,399.61x = 196,821,113,479.77
  5. Step 5: Solve for x
    x = 196,821,113,479.77/509,399.61
  6. Step 6: Final answer
    x = 386,378.61

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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.