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Finding the Fourth Proportional to 340,314, 510,786.63 and 171,952.57

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Solution

The fourth proportional to 340,314, 510,786.63 and 171,952.57 is: 258,088.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,314 : 510,786.63 = 171,952.57 : x
  2. Step 2: Convert to fraction form
    340,314/510,786.63 = 171,952.57/x
  3. Step 3: Cross multiply
    340,314x = 510,786.63 × 171,952.57
  4. Step 4: Simplify right side
    340,314x = 87,831,072,473.17
  5. Step 5: Solve for x
    x = 87,831,072,473.17/340,314
  6. Step 6: Final answer
    x = 258,088.33

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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.