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Finding the Fourth Proportional to 425,742, 638,613 and 173,159.91

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Solution

The fourth proportional to 425,742, 638,613 and 173,159.91 is: 259,739.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,742 : 638,613 = 173,159.91 : x
  2. Step 2: Convert to fraction form
    425,742/638,613 = 173,159.91/x
  3. Step 3: Cross multiply
    425,742x = 638,613 × 173,159.91
  4. Step 4: Simplify right side
    425,742x = 110,582,169,604.83
  5. Step 5: Solve for x
    x = 110,582,169,604.83/425,742
  6. Step 6: Final answer
    x = 259,739.87

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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.