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Finding the Fourth Proportional to 502,138.85, 693,052.19 and 298,303.01

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Solution

The fourth proportional to 502,138.85, 693,052.19 and 298,303.01 is: 411,717.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,138.85 : 693,052.19 = 298,303.01 : x
  2. Step 2: Convert to fraction form
    502,138.85/693,052.19 = 298,303.01/x
  3. Step 3: Cross multiply
    502,138.85x = 693,052.19 × 298,303.01
  4. Step 4: Simplify right side
    502,138.85x = 206,739,554,364.09
  5. Step 5: Solve for x
    x = 206,739,554,364.09/502,138.85
  6. Step 6: Final answer
    x = 411,717.90

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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.