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Finding the Fourth Proportional to 415,803.46, 623,714.91 and 135,342.58

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Solution

The fourth proportional to 415,803.46, 623,714.91 and 135,342.58 is: 203,017.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,803.46 : 623,714.91 = 135,342.58 : x
  2. Step 2: Convert to fraction form
    415,803.46/623,714.91 = 135,342.58/x
  3. Step 3: Cross multiply
    415,803.46x = 623,714.91 × 135,342.58
  4. Step 4: Simplify right side
    415,803.46x = 84,415,185,103.87
  5. Step 5: Solve for x
    x = 84,415,185,103.87/415,803.46
  6. Step 6: Final answer
    x = 203,017.03

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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.