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Finding the Fourth Proportional to 509,389.95, 702,924.09 and 279,942.32

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Solution

The fourth proportional to 509,389.95, 702,924.09 and 279,942.32 is: 386,301.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,389.95 : 702,924.09 = 279,942.32 : x
  2. Step 2: Convert to fraction form
    509,389.95/702,924.09 = 279,942.32/x
  3. Step 3: Cross multiply
    509,389.95x = 702,924.09 × 279,942.32
  4. Step 4: Simplify right side
    509,389.95x = 196,778,200,538.49
  5. Step 5: Solve for x
    x = 196,778,200,538.49/509,389.95
  6. Step 6: Final answer
    x = 386,301.69

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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.