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Finding the Fourth Proportional to 456,411.60, 684,617.40 and 297,781.20

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Solution

The fourth proportional to 456,411.60, 684,617.40 and 297,781.20 is: 446,671.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,411.60 : 684,617.40 = 297,781.20 : x
  2. Step 2: Convert to fraction form
    456,411.60/684,617.40 = 297,781.20/x
  3. Step 3: Cross multiply
    456,411.60x = 684,617.40 × 297,781.20
  4. Step 4: Simplify right side
    456,411.60x = 203,866,190,912.88
  5. Step 5: Solve for x
    x = 203,866,190,912.88/456,411.60
  6. Step 6: Final answer
    x = 446,671.80

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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.