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Finding the Fourth Proportional to 509,734, 703,433.73 and 283,379.50

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Solution

The fourth proportional to 509,734, 703,433.73 and 283,379.50 is: 391,064.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,734 : 703,433.73 = 283,379.50 : x
  2. Step 2: Convert to fraction form
    509,734/703,433.73 = 283,379.50/x
  3. Step 3: Cross multiply
    509,734x = 703,433.73 × 283,379.50
  4. Step 4: Simplify right side
    509,734x = 199,338,698,690.54
  5. Step 5: Solve for x
    x = 199,338,698,690.54/509,734
  6. Step 6: Final answer
    x = 391,064.16

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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.