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Finding the Fourth Proportional to 282,616.60, 423,924.90 and 280,648.30

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Solution

The fourth proportional to 282,616.60, 423,924.90 and 280,648.30 is: 420,972.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,616.60 : 423,924.90 = 280,648.30 : x
  2. Step 2: Convert to fraction form
    282,616.60/423,924.90 = 280,648.30/x
  3. Step 3: Cross multiply
    282,616.60x = 423,924.90 × 280,648.30
  4. Step 4: Simplify right side
    282,616.60x = 118,973,802,512.67
  5. Step 5: Solve for x
    x = 118,973,802,512.67/282,616.60
  6. Step 6: Final answer
    x = 420,972.45

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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.