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Finding the Fourth Proportional to 387,503.76, 580,714.35 and 187,771.14

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Solution

The fourth proportional to 387,503.76, 580,714.35 and 187,771.14 is: 281,394.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,503.76 : 580,714.35 = 187,771.14 : x
  2. Step 2: Convert to fraction form
    387,503.76/580,714.35 = 187,771.14/x
  3. Step 3: Cross multiply
    387,503.76x = 580,714.35 × 187,771.14
  4. Step 4: Simplify right side
    387,503.76x = 109,041,395,513.86
  5. Step 5: Solve for x
    x = 109,041,395,513.86/387,503.76
  6. Step 6: Final answer
    x = 281,394.42

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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.