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Finding the Fourth Proportional to 509,235.36, 702,756.60 and 279,807

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Solution

The fourth proportional to 509,235.36, 702,756.60 and 279,807 is: 386,140.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,235.36 : 702,756.60 = 279,807 : x
  2. Step 2: Convert to fraction form
    509,235.36/702,756.60 = 279,807/x
  3. Step 3: Cross multiply
    509,235.36x = 702,756.60 × 279,807
  4. Step 4: Simplify right side
    509,235.36x = 196,636,215,976.20
  5. Step 5: Solve for x
    x = 196,636,215,976.20/509,235.36
  6. Step 6: Final answer
    x = 386,140.15

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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.