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Finding the Fourth Proportional to 287,909.82, 397,315.83 and 167,075.64

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Solution

The fourth proportional to 287,909.82, 397,315.83 and 167,075.64 is: 230,564.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,909.82 : 397,315.83 = 167,075.64 : x
  2. Step 2: Convert to fraction form
    287,909.82/397,315.83 = 167,075.64/x
  3. Step 3: Cross multiply
    287,909.82x = 397,315.83 × 167,075.64
  4. Step 4: Simplify right side
    287,909.82x = 66,381,796,579.38
  5. Step 5: Solve for x
    x = 66,381,796,579.38/287,909.82
  6. Step 6: Final answer
    x = 230,564.54

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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.