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Finding the Fourth Proportional to 509,804.73, 703,331.42 and 291,896.96

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Solution

The fourth proportional to 509,804.73, 703,331.42 and 291,896.96 is: 402,703.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,804.73 : 703,331.42 = 291,896.96 : x
  2. Step 2: Convert to fraction form
    509,804.73/703,331.42 = 291,896.96/x
  3. Step 3: Cross multiply
    509,804.73x = 703,331.42 × 291,896.96
  4. Step 4: Simplify right side
    509,804.73x = 205,300,298,394.34
  5. Step 5: Solve for x
    x = 205,300,298,394.34/509,804.73
  6. Step 6: Final answer
    x = 402,703.79

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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.