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Finding the Fourth Proportional to 285,798.06, 428,679.81 and 127,984.14

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Solution

The fourth proportional to 285,798.06, 428,679.81 and 127,984.14 is: 191,968.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,798.06 : 428,679.81 = 127,984.14 : x
  2. Step 2: Convert to fraction form
    285,798.06/428,679.81 = 127,984.14/x
  3. Step 3: Cross multiply
    285,798.06x = 428,679.81 × 127,984.14
  4. Step 4: Simplify right side
    285,798.06x = 54,864,216,818.21
  5. Step 5: Solve for x
    x = 54,864,216,818.21/285,798.06
  6. Step 6: Final answer
    x = 191,968.47

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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.