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Finding the Fourth Proportional to 586,881.82, 809,900.28 and 345,174.58

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Solution

The fourth proportional to 586,881.82, 809,900.28 and 345,174.58 is: 476,342.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,881.82 : 809,900.28 = 345,174.58 : x
  2. Step 2: Convert to fraction form
    586,881.82/809,900.28 = 345,174.58/x
  3. Step 3: Cross multiply
    586,881.82x = 809,900.28 × 345,174.58
  4. Step 4: Simplify right side
    586,881.82x = 279,556,988,990.88
  5. Step 5: Solve for x
    x = 279,556,988,990.88/586,881.82
  6. Step 6: Final answer
    x = 476,342.90

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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.