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Finding the Fourth Proportional to 280,626.96, 420,962.16 and 93,638.16

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Solution

The fourth proportional to 280,626.96, 420,962.16 and 93,638.16 is: 140,464.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,626.96 : 420,962.16 = 93,638.16 : x
  2. Step 2: Convert to fraction form
    280,626.96/420,962.16 = 93,638.16/x
  3. Step 3: Cross multiply
    280,626.96x = 420,962.16 × 93,638.16
  4. Step 4: Simplify right side
    280,626.96x = 39,418,122,092.03
  5. Step 5: Solve for x
    x = 39,418,122,092.03/280,626.96
  6. Step 6: Final answer
    x = 140,464.49

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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.