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Finding the Fourth Proportional to 421,774.30, 632,663.85 and 172,456.30

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Solution

The fourth proportional to 421,774.30, 632,663.85 and 172,456.30 is: 258,685.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,774.30 : 632,663.85 = 172,456.30 : x
  2. Step 2: Convert to fraction form
    421,774.30/632,663.85 = 172,456.30/x
  3. Step 3: Cross multiply
    421,774.30x = 632,663.85 × 172,456.30
  4. Step 4: Simplify right side
    421,774.30x = 109,106,866,714.76
  5. Step 5: Solve for x
    x = 109,106,866,714.76/421,774.30
  6. Step 6: Final answer
    x = 258,685.43

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1.5x scale

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.