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Finding the Fourth Proportional to 411,383.72, 616,785.80 and 158,452.31

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Solution

The fourth proportional to 411,383.72, 616,785.80 and 158,452.31 is: 237,566.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,383.72 : 616,785.80 = 158,452.31 : x
  2. Step 2: Convert to fraction form
    411,383.72/616,785.80 = 158,452.31/x
  3. Step 3: Cross multiply
    411,383.72x = 616,785.80 × 158,452.31
  4. Step 4: Simplify right side
    411,383.72x = 97,731,130,909.01
  5. Step 5: Solve for x
    x = 97,731,130,909.01/411,383.72
  6. Step 6: Final answer
    x = 237,566.84

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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.