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Finding the Fourth Proportional to 586,874.82, 809,890.62 and 345,167.58

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Solution

The fourth proportional to 586,874.82, 809,890.62 and 345,167.58 is: 476,333.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,874.82 : 809,890.62 = 345,167.58 : x
  2. Step 2: Convert to fraction form
    586,874.82/809,890.62 = 345,167.58/x
  3. Step 3: Cross multiply
    586,874.82x = 809,890.62 × 345,167.58
  4. Step 4: Simplify right side
    586,874.82x = 279,547,985,370.10
  5. Step 5: Solve for x
    x = 279,547,985,370.10/586,874.82
  6. Step 6: Final answer
    x = 476,333.24

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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.