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Finding the Fourth Proportional to 340,114.37, 510,368.69 and 171,647.87

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Solution

The fourth proportional to 340,114.37, 510,368.69 and 171,647.87 is: 257,571.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,114.37 : 510,368.69 = 171,647.87 : x
  2. Step 2: Convert to fraction form
    340,114.37/510,368.69 = 171,647.87/x
  3. Step 3: Cross multiply
    340,114.37x = 510,368.69 × 171,647.87
  4. Step 4: Simplify right side
    340,114.37x = 87,603,696,430.47
  5. Step 5: Solve for x
    x = 87,603,696,430.47/340,114.37
  6. Step 6: Final answer
    x = 257,571.29

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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.