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Finding the Fourth Proportional to 285,434.64, 428,151.96 and 119,106

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Solution

The fourth proportional to 285,434.64, 428,151.96 and 119,106 is: 178,659

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,434.64 : 428,151.96 = 119,106 : x
  2. Step 2: Convert to fraction form
    285,434.64/428,151.96 = 119,106/x
  3. Step 3: Cross multiply
    285,434.64x = 428,151.96 × 119,106
  4. Step 4: Simplify right side
    285,434.64x = 50,995,467,347.76
  5. Step 5: Solve for x
    x = 50,995,467,347.76/285,434.64
  6. Step 6: Final answer
    x = 178,659

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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.