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Finding the Fourth Proportional to 314,130.62, 471,193.77 and 127,139.42

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Solution

The fourth proportional to 314,130.62, 471,193.77 and 127,139.42 is: 190,708.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,130.62 : 471,193.77 = 127,139.42 : x
  2. Step 2: Convert to fraction form
    314,130.62/471,193.77 = 127,139.42/x
  3. Step 3: Cross multiply
    314,130.62x = 471,193.77 × 127,139.42
  4. Step 4: Simplify right side
    314,130.62x = 59,907,302,625.41
  5. Step 5: Solve for x
    x = 59,907,302,625.41/314,130.62
  6. Step 6: Final answer
    x = 190,708.26

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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.