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Finding the Fourth Proportional to 666,462.14, 919,715.73 and 360,538.44

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Solution

The fourth proportional to 666,462.14, 919,715.73 and 360,538.44 is: 497,541.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,462.14 : 919,715.73 = 360,538.44 : x
  2. Step 2: Convert to fraction form
    666,462.14/919,715.73 = 360,538.44/x
  3. Step 3: Cross multiply
    666,462.14x = 919,715.73 × 360,538.44
  4. Step 4: Simplify right side
    666,462.14x = 331,592,876,938.14
  5. Step 5: Solve for x
    x = 331,592,876,938.14/666,462.14
  6. Step 6: Final answer
    x = 497,541.95

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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.