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Finding the Fourth Proportional to 421,951.68, 632,926.08 and 172,633.68

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Solution

The fourth proportional to 421,951.68, 632,926.08 and 172,633.68 is: 258,949.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,951.68 : 632,926.08 = 172,633.68 : x
  2. Step 2: Convert to fraction form
    421,951.68/632,926.08 = 172,633.68/x
  3. Step 3: Cross multiply
    421,951.68x = 632,926.08 × 172,633.68
  4. Step 4: Simplify right side
    421,951.68x = 109,264,358,358.37
  5. Step 5: Solve for x
    x = 109,264,358,358.37/421,951.68
  6. Step 6: Final answer
    x = 258,949.93

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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.