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Finding the Fourth Proportional to 291,045.65, 401,638.70 and 163,721.24

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Solution

The fourth proportional to 291,045.65, 401,638.70 and 163,721.24 is: 225,932.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,045.65 : 401,638.70 = 163,721.24 : x
  2. Step 2: Convert to fraction form
    291,045.65/401,638.70 = 163,721.24/x
  3. Step 3: Cross multiply
    291,045.65x = 401,638.70 × 163,721.24
  4. Step 4: Simplify right side
    291,045.65x = 65,756,783,169.19
  5. Step 5: Solve for x
    x = 65,756,783,169.19/291,045.65
  6. Step 6: Final answer
    x = 225,932.89

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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.