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Finding the Fourth Proportional to 340,715.62, 511,389.87 and 172,354.96

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Solution

The fourth proportional to 340,715.62, 511,389.87 and 172,354.96 is: 258,692.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,715.62 : 511,389.87 = 172,354.96 : x
  2. Step 2: Convert to fraction form
    340,715.62/511,389.87 = 172,354.96/x
  3. Step 3: Cross multiply
    340,715.62x = 511,389.87 × 172,354.96
  4. Step 4: Simplify right side
    340,715.62x = 88,140,580,588.26
  5. Step 5: Solve for x
    x = 88,140,580,588.26/340,715.62
  6. Step 6: Final answer
    x = 258,692.51

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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.