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Finding the Fourth Proportional to 456,010.20, 684,080.10 and 140,434.20

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Solution

The fourth proportional to 456,010.20, 684,080.10 and 140,434.20 is: 210,671.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,010.20 : 684,080.10 = 140,434.20 : x
  2. Step 2: Convert to fraction form
    456,010.20/684,080.10 = 140,434.20/x
  3. Step 3: Cross multiply
    456,010.20x = 684,080.10 × 140,434.20
  4. Step 4: Simplify right side
    456,010.20x = 96,068,241,579.42
  5. Step 5: Solve for x
    x = 96,068,241,579.42/456,010.20
  6. Step 6: Final answer
    x = 210,671.26

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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.