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Finding the Fourth Proportional to 421,627.68, 632,674.80 and 172,484.64

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Solution

The fourth proportional to 421,627.68, 632,674.80 and 172,484.64 is: 258,822.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,627.68 : 632,674.80 = 172,484.64 : x
  2. Step 2: Convert to fraction form
    421,627.68/632,674.80 = 172,484.64/x
  3. Step 3: Cross multiply
    421,627.68x = 632,674.80 × 172,484.64
  4. Step 4: Simplify right side
    421,627.68x = 109,126,685,115.07
  5. Step 5: Solve for x
    x = 109,126,685,115.07/421,627.68
  6. Step 6: Final answer
    x = 258,822.39

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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.