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Finding the Fourth Proportional to 502,164.06, 692,817.72 and 284,343.06

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Solution

The fourth proportional to 502,164.06, 692,817.72 and 284,343.06 is: 392,297.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,164.06 : 692,817.72 = 284,343.06 : x
  2. Step 2: Convert to fraction form
    502,164.06/692,817.72 = 284,343.06/x
  3. Step 3: Cross multiply
    502,164.06x = 692,817.72 × 284,343.06
  4. Step 4: Simplify right side
    502,164.06x = 196,997,910,527.02
  5. Step 5: Solve for x
    x = 196,997,910,527.02/502,164.06
  6. Step 6: Final answer
    x = 392,297.91

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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.