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Finding the Fourth Proportional to 421,566.24, 632,349.36 and 172,248

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Solution

The fourth proportional to 421,566.24, 632,349.36 and 172,248 is: 258,372

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,566.24 : 632,349.36 = 172,248 : x
  2. Step 2: Convert to fraction form
    421,566.24/632,349.36 = 172,248/x
  3. Step 3: Cross multiply
    421,566.24x = 632,349.36 × 172,248
  4. Step 4: Simplify right side
    421,566.24x = 108,920,912,561.28
  5. Step 5: Solve for x
    x = 108,920,912,561.28/421,566.24
  6. Step 6: Final answer
    x = 258,372

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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.