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Finding the Fourth Proportional to 586,871.82, 809,886.51 and 345,164.58

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Solution

The fourth proportional to 586,871.82, 809,886.51 and 345,164.58 is: 476,329.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,871.82 : 809,886.51 = 345,164.58 : x
  2. Step 2: Convert to fraction form
    586,871.82/809,886.51 = 345,164.58/x
  3. Step 3: Cross multiply
    586,871.82x = 809,886.51 × 345,164.58
  4. Step 4: Simplify right side
    586,871.82x = 279,544,137,071.82
  5. Step 5: Solve for x
    x = 279,544,137,071.82/586,871.82
  6. Step 6: Final answer
    x = 476,329.12

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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.