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Finding the Fourth Proportional to 291,042.40, 401,661.84 and 163,710.40

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Solution

The fourth proportional to 291,042.40, 401,661.84 and 163,710.40 is: 225,933.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,042.40 : 401,661.84 = 163,710.40 : x
  2. Step 2: Convert to fraction form
    291,042.40/401,661.84 = 163,710.40/x
  3. Step 3: Cross multiply
    291,042.40x = 401,661.84 × 163,710.40
  4. Step 4: Simplify right side
    291,042.40x = 65,756,220,491.14
  5. Step 5: Solve for x
    x = 65,756,220,491.14/291,042.40
  6. Step 6: Final answer
    x = 225,933.47

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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.