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Finding the Fourth Proportional to 421,534.72, 632,302.08 and 172,216.72

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Solution

The fourth proportional to 421,534.72, 632,302.08 and 172,216.72 is: 258,325.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,534.72 : 632,302.08 = 172,216.72 : x
  2. Step 2: Convert to fraction form
    421,534.72/632,302.08 = 172,216.72/x
  3. Step 3: Cross multiply
    421,534.72x = 632,302.08 × 172,216.72
  4. Step 4: Simplify right side
    421,534.72x = 108,892,990,266.78
  5. Step 5: Solve for x
    x = 108,892,990,266.78/421,534.72
  6. Step 6: Final answer
    x = 258,325.08

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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.