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Finding the Fourth Proportional to 506,830.25, 699,504.30 and 289,039.39

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Solution

The fourth proportional to 506,830.25, 699,504.30 and 289,039.39 is: 398,919.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,830.25 : 699,504.30 = 289,039.39 : x
  2. Step 2: Convert to fraction form
    506,830.25/699,504.30 = 289,039.39/x
  3. Step 3: Cross multiply
    506,830.25x = 699,504.30 × 289,039.39
  4. Step 4: Simplify right side
    506,830.25x = 202,184,294,425.62
  5. Step 5: Solve for x
    x = 202,184,294,425.62/506,830.25
  6. Step 6: Final answer
    x = 398,919.15

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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.