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Finding the Fourth Proportional to 456,211.20, 684,316.80 and 206,893.20

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Solution

The fourth proportional to 456,211.20, 684,316.80 and 206,893.20 is: 310,339.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,211.20 : 684,316.80 = 206,893.20 : x
  2. Step 2: Convert to fraction form
    456,211.20/684,316.80 = 206,893.20/x
  3. Step 3: Cross multiply
    456,211.20x = 684,316.80 × 206,893.20
  4. Step 4: Simplify right side
    456,211.20x = 141,580,492,565.76
  5. Step 5: Solve for x
    x = 141,580,492,565.76/456,211.20
  6. Step 6: Final answer
    x = 310,339.80

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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.