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Finding the Fourth Proportional to 502,513.21, 693,494.81 and 284,764.15

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Solution

The fourth proportional to 502,513.21, 693,494.81 and 284,764.15 is: 392,989.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,513.21 : 693,494.81 = 284,764.15 : x
  2. Step 2: Convert to fraction form
    502,513.21/693,494.81 = 284,764.15/x
  3. Step 3: Cross multiply
    502,513.21x = 693,494.81 × 284,764.15
  4. Step 4: Simplify right side
    502,513.21x = 197,482,460,099.06
  5. Step 5: Solve for x
    x = 197,482,460,099.06/502,513.21
  6. Step 6: Final answer
    x = 392,989.59

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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.