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Finding the Fourth Proportional to 280,085.70, 420,128.55 and 230,878.20

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Solution

The fourth proportional to 280,085.70, 420,128.55 and 230,878.20 is: 346,317.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,085.70 : 420,128.55 = 230,878.20 : x
  2. Step 2: Convert to fraction form
    280,085.70/420,128.55 = 230,878.20/x
  3. Step 3: Cross multiply
    280,085.70x = 420,128.55 × 230,878.20
  4. Step 4: Simplify right side
    280,085.70x = 96,998,523,392.61
  5. Step 5: Solve for x
    x = 96,998,523,392.61/280,085.70
  6. Step 6: Final answer
    x = 346,317.30

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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.