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Finding the Fourth Proportional to 492,078.90, 737,657.55 and 385,403.70

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Solution

The fourth proportional to 492,078.90, 737,657.55 and 385,403.70 is: 577,744.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,078.90 : 737,657.55 = 385,403.70 : x
  2. Step 2: Convert to fraction form
    492,078.90/737,657.55 = 385,403.70/x
  3. Step 3: Cross multiply
    492,078.90x = 737,657.55 × 385,403.70
  4. Step 4: Simplify right side
    492,078.90x = 284,295,949,102.94
  5. Step 5: Solve for x
    x = 284,295,949,102.94/492,078.90
  6. Step 6: Final answer
    x = 577,744.64

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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.