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Finding the Fourth Proportional to 280,008.32, 420,112.68 and 120,017.12

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Solution

The fourth proportional to 280,008.32, 420,112.68 and 120,017.12 is: 180,068.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,008.32 : 420,112.68 = 120,017.12 : x
  2. Step 2: Convert to fraction form
    280,008.32/420,112.68 = 120,017.12/x
  3. Step 3: Cross multiply
    280,008.32x = 420,112.68 × 120,017.12
  4. Step 4: Simplify right side
    280,008.32x = 50,420,713,929.08
  5. Step 5: Solve for x
    x = 50,420,713,929.08/280,008.32
  6. Step 6: Final answer
    x = 180,068.63

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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.