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Finding the Fourth Proportional to 502,116.84, 693,052.74 and 311,021.64

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Solution

The fourth proportional to 502,116.84, 693,052.74 and 311,021.64 is: 429,291.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,116.84 : 693,052.74 = 311,021.64 : x
  2. Step 2: Convert to fraction form
    502,116.84/693,052.74 = 311,021.64/x
  3. Step 3: Cross multiply
    502,116.84x = 693,052.74 × 311,021.64
  4. Step 4: Simplify right side
    502,116.84x = 215,554,399,801.29
  5. Step 5: Solve for x
    x = 215,554,399,801.29/502,116.84
  6. Step 6: Final answer
    x = 429,291.32

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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.