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Finding the Fourth Proportional to 280,483.84, 420,892.16 and 112,083.60

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Solution

The fourth proportional to 280,483.84, 420,892.16 and 112,083.60 is: 168,191.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,483.84 : 420,892.16 = 112,083.60 : x
  2. Step 2: Convert to fraction form
    280,483.84/420,892.16 = 112,083.60/x
  3. Step 3: Cross multiply
    280,483.84x = 420,892.16 × 112,083.60
  4. Step 4: Simplify right side
    280,483.84x = 47,175,108,504.58
  5. Step 5: Solve for x
    x = 47,175,108,504.58/280,483.84
  6. Step 6: Final answer
    x = 168,191.89

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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.