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Finding the Fourth Proportional to 678,391.46, 1,016,636.79 and 509,804

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Solution

The fourth proportional to 678,391.46, 1,016,636.79 and 509,804 is: 763,991.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,391.46 : 1,016,636.79 = 509,804 : x
  2. Step 2: Convert to fraction form
    678,391.46/1,016,636.79 = 509,804/x
  3. Step 3: Cross multiply
    678,391.46x = 1,016,636.79 × 509,804
  4. Step 4: Simplify right side
    678,391.46x = 518,285,502,089.16
  5. Step 5: Solve for x
    x = 518,285,502,089.16/678,391.46
  6. Step 6: Final answer
    x = 763,991.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.