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Finding the Fourth Proportional to 503,095.38, 694,370.16 and 288,379.20

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Solution

The fourth proportional to 503,095.38, 694,370.16 and 288,379.20 is: 398,019.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,095.38 : 694,370.16 = 288,379.20 : x
  2. Step 2: Convert to fraction form
    503,095.38/694,370.16 = 288,379.20/x
  3. Step 3: Cross multiply
    503,095.38x = 694,370.16 × 288,379.20
  4. Step 4: Simplify right side
    503,095.38x = 200,241,911,244.67
  5. Step 5: Solve for x
    x = 200,241,911,244.67/503,095.38
  6. Step 6: Final answer
    x = 398,019.78

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1.5x scale

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.