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Finding the Fourth Proportional to 503,095.88, 694,370.85 and 288,379.70

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Solution

The fourth proportional to 503,095.88, 694,370.85 and 288,379.70 is: 398,020.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,095.88 : 694,370.85 = 288,379.70 : x
  2. Step 2: Convert to fraction form
    503,095.88/694,370.85 = 288,379.70/x
  3. Step 3: Cross multiply
    503,095.88x = 694,370.85 × 288,379.70
  4. Step 4: Simplify right side
    503,095.88x = 200,242,457,411.75
  5. Step 5: Solve for x
    x = 200,242,457,411.75/503,095.88
  6. Step 6: Final answer
    x = 398,020.47

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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.