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Finding the Fourth Proportional to 385,916.60, 577,646.10 and 275,324.60

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Solution

The fourth proportional to 385,916.60, 577,646.10 and 275,324.60 is: 412,110.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,916.60 : 577,646.10 = 275,324.60 : x
  2. Step 2: Convert to fraction form
    385,916.60/577,646.10 = 275,324.60/x
  3. Step 3: Cross multiply
    385,916.60x = 577,646.10 × 275,324.60
  4. Step 4: Simplify right side
    385,916.60x = 159,040,181,424.06
  5. Step 5: Solve for x
    x = 159,040,181,424.06/385,916.60
  6. Step 6: Final answer
    x = 412,110.24

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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.