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Finding the Fourth Proportional to 509,345.82, 702,899.96 and 282,991.32

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Solution

The fourth proportional to 509,345.82, 702,899.96 and 282,991.32 is: 390,529.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,345.82 : 702,899.96 = 282,991.32 : x
  2. Step 2: Convert to fraction form
    509,345.82/702,899.96 = 282,991.32/x
  3. Step 3: Cross multiply
    509,345.82x = 702,899.96 × 282,991.32
  4. Step 4: Simplify right side
    509,345.82x = 198,914,586,093.39
  5. Step 5: Solve for x
    x = 198,914,586,093.39/509,345.82
  6. Step 6: Final answer
    x = 390,529.53

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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.