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Finding the Fourth Proportional to 340,491.82, 510,441.81 and 171,871.69

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Solution

The fourth proportional to 340,491.82, 510,441.81 and 171,871.69 is: 257,658.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,491.82 : 510,441.81 = 171,871.69 : x
  2. Step 2: Convert to fraction form
    340,491.82/510,441.81 = 171,871.69/x
  3. Step 3: Cross multiply
    340,491.82x = 510,441.81 × 171,871.69
  4. Step 4: Simplify right side
    340,491.82x = 87,730,496,531.36
  5. Step 5: Solve for x
    x = 87,730,496,531.36/340,491.82
  6. Step 6: Final answer
    x = 257,658.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.