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Finding the Fourth Proportional to 586,880.82, 809,898.90 and 345,173.58

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Solution

The fourth proportional to 586,880.82, 809,898.90 and 345,173.58 is: 476,341.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,880.82 : 809,898.90 = 345,173.58 : x
  2. Step 2: Convert to fraction form
    586,880.82/809,898.90 = 345,173.58/x
  3. Step 3: Cross multiply
    586,880.82x = 809,898.90 × 345,173.58
  4. Step 4: Simplify right side
    586,880.82x = 279,555,702,751.06
  5. Step 5: Solve for x
    x = 279,555,702,751.06/586,880.82
  6. Step 6: Final answer
    x = 476,341.52

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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.