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Finding the Fourth Proportional to 515,537.82, 773,872.38 and 409,602.60

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Solution

The fourth proportional to 515,537.82, 773,872.38 and 409,602.60 is: 614,853.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,537.82 : 773,872.38 = 409,602.60 : x
  2. Step 2: Convert to fraction form
    515,537.82/773,872.38 = 409,602.60/x
  3. Step 3: Cross multiply
    515,537.82x = 773,872.38 × 409,602.60
  4. Step 4: Simplify right side
    515,537.82x = 316,980,138,916.19
  5. Step 5: Solve for x
    x = 316,980,138,916.19/515,537.82
  6. Step 6: Final answer
    x = 614,853.32

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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.