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Finding the Fourth Proportional to 438,354.60, 658,123.20 and 280,890.60

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Solution

The fourth proportional to 438,354.60, 658,123.20 and 280,890.60 is: 421,714.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,354.60 : 658,123.20 = 280,890.60 : x
  2. Step 2: Convert to fraction form
    438,354.60/658,123.20 = 280,890.60/x
  3. Step 3: Cross multiply
    438,354.60x = 658,123.20 × 280,890.60
  4. Step 4: Simplify right side
    438,354.60x = 184,860,620,521.92
  5. Step 5: Solve for x
    x = 184,860,620,521.92/438,354.60
  6. Step 6: Final answer
    x = 421,714.80

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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.