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Finding the Fourth Proportional to 342,291.30, 512,999.55 and 164,415.30

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Solution

The fourth proportional to 342,291.30, 512,999.55 and 164,415.30 is: 246,412.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,291.30 : 512,999.55 = 164,415.30 : x
  2. Step 2: Convert to fraction form
    342,291.30/512,999.55 = 164,415.30/x
  3. Step 3: Cross multiply
    342,291.30x = 512,999.55 × 164,415.30
  4. Step 4: Simplify right side
    342,291.30x = 84,344,974,913.12
  5. Step 5: Solve for x
    x = 84,344,974,913.12/342,291.30
  6. Step 6: Final answer
    x = 246,412.85

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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.