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Finding the Fourth Proportional to 314,136.88, 471,203.14 and 127,145.68

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Solution

The fourth proportional to 314,136.88, 471,203.14 and 127,145.68 is: 190,717.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,136.88 : 471,203.14 = 127,145.68 : x
  2. Step 2: Convert to fraction form
    314,136.88/471,203.14 = 127,145.68/x
  3. Step 3: Cross multiply
    314,136.88x = 471,203.14 × 127,145.68
  4. Step 4: Simplify right side
    314,136.88x = 59,911,443,653.44
  5. Step 5: Solve for x
    x = 59,911,443,653.44/314,136.88
  6. Step 6: Final answer
    x = 190,717.64

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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.