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Finding the Fourth Proportional to 502,531.94, 693,258 and 298,589.06

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Solution

The fourth proportional to 502,531.94, 693,258 and 298,589.06 is: 411,912.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,531.94 : 693,258 = 298,589.06 : x
  2. Step 2: Convert to fraction form
    502,531.94/693,258 = 298,589.06/x
  3. Step 3: Cross multiply
    502,531.94x = 693,258 × 298,589.06
  4. Step 4: Simplify right side
    502,531.94x = 206,999,254,557.48
  5. Step 5: Solve for x
    x = 206,999,254,557.48/502,531.94
  6. Step 6: Final answer
    x = 411,912.63

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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.