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Finding the Fourth Proportional to 411,312.74, 616,720.01 and 268,986.20

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Solution

The fourth proportional to 411,312.74, 616,720.01 and 268,986.20 is: 403,316.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,312.74 : 616,720.01 = 268,986.20 : x
  2. Step 2: Convert to fraction form
    411,312.74/616,720.01 = 268,986.20/x
  3. Step 3: Cross multiply
    411,312.74x = 616,720.01 × 268,986.20
  4. Step 4: Simplify right side
    411,312.74x = 165,889,167,525.33
  5. Step 5: Solve for x
    x = 165,889,167,525.33/411,312.74
  6. Step 6: Final answer
    x = 403,316.39

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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.