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Finding the Fourth Proportional to 689,742, 1,034,613 and 191,106

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Solution

The fourth proportional to 689,742, 1,034,613 and 191,106 is: 286,659

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,742 : 1,034,613 = 191,106 : x
  2. Step 2: Convert to fraction form
    689,742/1,034,613 = 191,106/x
  3. Step 3: Cross multiply
    689,742x = 1,034,613 × 191,106
  4. Step 4: Simplify right side
    689,742x = 197,720,751,978
  5. Step 5: Solve for x
    x = 197,720,751,978/689,742
  6. Step 6: Final answer
    x = 286,659

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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.