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Finding the Fourth Proportional to 289,558.49, 399,605.47 and 167,005.30

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Solution

The fourth proportional to 289,558.49, 399,605.47 and 167,005.30 is: 230,475.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,558.49 : 399,605.47 = 167,005.30 : x
  2. Step 2: Convert to fraction form
    289,558.49/399,605.47 = 167,005.30/x
  3. Step 3: Cross multiply
    289,558.49x = 399,605.47 × 167,005.30
  4. Step 4: Simplify right side
    289,558.49x = 66,736,228,983.45
  5. Step 5: Solve for x
    x = 66,736,228,983.45/289,558.49
  6. Step 6: Final answer
    x = 230,475.81

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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.