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Finding the Fourth Proportional to 384,892.80, 577,339.20 and 258,921.60

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Solution

The fourth proportional to 384,892.80, 577,339.20 and 258,921.60 is: 388,382.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,892.80 : 577,339.20 = 258,921.60 : x
  2. Step 2: Convert to fraction form
    384,892.80/577,339.20 = 258,921.60/x
  3. Step 3: Cross multiply
    384,892.80x = 577,339.20 × 258,921.60
  4. Step 4: Simplify right side
    384,892.80x = 149,485,589,406.72
  5. Step 5: Solve for x
    x = 149,485,589,406.72/384,892.80
  6. Step 6: Final answer
    x = 388,382.40

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1.5x scale

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.