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Finding the Fourth Proportional to 509,407.32, 702,936.36 and 279,962.10

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Solution

The fourth proportional to 509,407.32, 702,936.36 and 279,962.10 is: 386,322.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,407.32 : 702,936.36 = 279,962.10 : x
  2. Step 2: Convert to fraction form
    509,407.32/702,936.36 = 279,962.10/x
  3. Step 3: Cross multiply
    509,407.32x = 702,936.36 × 279,962.10
  4. Step 4: Simplify right side
    509,407.32x = 196,795,539,511.96
  5. Step 5: Solve for x
    x = 196,795,539,511.96/509,407.32
  6. Step 6: Final answer
    x = 386,322.56

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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.