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Finding the Fourth Proportional to 415,808.40, 623,712.60 and 398,093.70

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Solution

The fourth proportional to 415,808.40, 623,712.60 and 398,093.70 is: 597,140.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,808.40 : 623,712.60 = 398,093.70 : x
  2. Step 2: Convert to fraction form
    415,808.40/623,712.60 = 398,093.70/x
  3. Step 3: Cross multiply
    415,808.40x = 623,712.60 × 398,093.70
  4. Step 4: Simplify right side
    415,808.40x = 248,296,056,670.62
  5. Step 5: Solve for x
    x = 248,296,056,670.62/415,808.40
  6. Step 6: Final answer
    x = 597,140.55

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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.