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Finding the Fourth Proportional to 280,387.72, 420,420 and 191,748.64

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Solution

The fourth proportional to 280,387.72, 420,420 and 191,748.64 is: 287,512.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,387.72 : 420,420 = 191,748.64 : x
  2. Step 2: Convert to fraction form
    280,387.72/420,420 = 191,748.64/x
  3. Step 3: Cross multiply
    280,387.72x = 420,420 × 191,748.64
  4. Step 4: Simplify right side
    280,387.72x = 80,614,963,228.80
  5. Step 5: Solve for x
    x = 80,614,963,228.80/280,387.72
  6. Step 6: Final answer
    x = 287,512.46

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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.