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Finding the Fourth Proportional to 509,266.53, 702,817.02 and 282,912.03

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Solution

The fourth proportional to 509,266.53, 702,817.02 and 282,912.03 is: 390,434.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,266.53 : 702,817.02 = 282,912.03 : x
  2. Step 2: Convert to fraction form
    509,266.53/702,817.02 = 282,912.03/x
  3. Step 3: Cross multiply
    509,266.53x = 702,817.02 × 282,912.03
  4. Step 4: Simplify right side
    509,266.53x = 198,835,389,846.75
  5. Step 5: Solve for x
    x = 198,835,389,846.75/509,266.53
  6. Step 6: Final answer
    x = 390,434.83

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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.