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Finding the Fourth Proportional to 503,249.34, 694,503.29 and 288,430.96

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Solution

The fourth proportional to 503,249.34, 694,503.29 and 288,430.96 is: 398,045.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,249.34 : 694,503.29 = 288,430.96 : x
  2. Step 2: Convert to fraction form
    503,249.34/694,503.29 = 288,430.96/x
  3. Step 3: Cross multiply
    503,249.34x = 694,503.29 × 288,430.96
  4. Step 4: Simplify right side
    503,249.34x = 200,316,250,133.66
  5. Step 5: Solve for x
    x = 200,316,250,133.66/503,249.34
  6. Step 6: Final answer
    x = 398,045.73

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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.