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Finding the Fourth Proportional to 509,019.12, 702,454.83 and 279,597.62

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Solution

The fourth proportional to 509,019.12, 702,454.83 and 279,597.62 is: 385,849.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,019.12 : 702,454.83 = 279,597.62 : x
  2. Step 2: Convert to fraction form
    509,019.12/702,454.83 = 279,597.62/x
  3. Step 3: Cross multiply
    509,019.12x = 702,454.83 × 279,597.62
  4. Step 4: Simplify right side
    509,019.12x = 196,404,700,905.89
  5. Step 5: Solve for x
    x = 196,404,700,905.89/509,019.12
  6. Step 6: Final answer
    x = 385,849.36

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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.