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Finding the Fourth Proportional to 509,463.67, 703,065.31 and 276,890.60

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Solution

The fourth proportional to 509,463.67, 703,065.31 and 276,890.60 is: 382,111.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,463.67 : 703,065.31 = 276,890.60 : x
  2. Step 2: Convert to fraction form
    509,463.67/703,065.31 = 276,890.60/x
  3. Step 3: Cross multiply
    509,463.67x = 703,065.31 × 276,890.60
  4. Step 4: Simplify right side
    509,463.67x = 194,672,177,953.34
  5. Step 5: Solve for x
    x = 194,672,177,953.34/509,463.67
  6. Step 6: Final answer
    x = 382,111.99

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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.