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Finding the Fourth Proportional to 455,315.20, 682,972.80 and 410,214.40

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Solution

The fourth proportional to 455,315.20, 682,972.80 and 410,214.40 is: 615,321.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,315.20 : 682,972.80 = 410,214.40 : x
  2. Step 2: Convert to fraction form
    455,315.20/682,972.80 = 410,214.40/x
  3. Step 3: Cross multiply
    455,315.20x = 682,972.80 × 410,214.40
  4. Step 4: Simplify right side
    455,315.20x = 280,165,277,368.32
  5. Step 5: Solve for x
    x = 280,165,277,368.32/455,315.20
  6. Step 6: Final answer
    x = 615,321.60

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Similar ratio
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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.