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Finding the Fourth Proportional to 503,508.79, 694,821.63 and 288,499.33

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Solution

The fourth proportional to 503,508.79, 694,821.63 and 288,499.33 is: 398,117.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,508.79 : 694,821.63 = 288,499.33 : x
  2. Step 2: Convert to fraction form
    503,508.79/694,821.63 = 288,499.33/x
  3. Step 3: Cross multiply
    503,508.79x = 694,821.63 × 288,499.33
  4. Step 4: Simplify right side
    503,508.79x = 200,455,574,724.51
  5. Step 5: Solve for x
    x = 200,455,574,724.51/503,508.79
  6. Step 6: Final answer
    x = 398,117.33

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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.