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Finding the Fourth Proportional to 340,353, 510,469.32 and 127,073.04

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Solution

The fourth proportional to 340,353, 510,469.32 and 127,073.04 is: 190,587.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,353 : 510,469.32 = 127,073.04 : x
  2. Step 2: Convert to fraction form
    340,353/510,469.32 = 127,073.04/x
  3. Step 3: Cross multiply
    340,353x = 510,469.32 × 127,073.04
  4. Step 4: Simplify right side
    340,353x = 64,866,888,319.13
  5. Step 5: Solve for x
    x = 64,866,888,319.13/340,353
  6. Step 6: Final answer
    x = 190,587.09

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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.