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Finding the Fourth Proportional to 385,330.56, 577,470.60 and 185,636.40

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Solution

The fourth proportional to 385,330.56, 577,470.60 and 185,636.40 is: 278,201.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,330.56 : 577,470.60 = 185,636.40 : x
  2. Step 2: Convert to fraction form
    385,330.56/577,470.60 = 185,636.40/x
  3. Step 3: Cross multiply
    385,330.56x = 577,470.60 × 185,636.40
  4. Step 4: Simplify right side
    385,330.56x = 107,199,563,289.84
  5. Step 5: Solve for x
    x = 107,199,563,289.84/385,330.56
  6. Step 6: Final answer
    x = 278,201.56

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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.