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Finding the Fourth Proportional to 385,228.92, 577,464.29 and 225,101.64

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Solution

The fourth proportional to 385,228.92, 577,464.29 and 225,101.64 is: 337,430.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,228.92 : 577,464.29 = 225,101.64 : x
  2. Step 2: Convert to fraction form
    385,228.92/577,464.29 = 225,101.64/x
  3. Step 3: Cross multiply
    385,228.92x = 577,464.29 × 225,101.64
  4. Step 4: Simplify right side
    385,228.92x = 129,988,158,720.44
  5. Step 5: Solve for x
    x = 129,988,158,720.44/385,228.92
  6. Step 6: Final answer
    x = 337,430.95

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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.