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Finding the Fourth Proportional to 811,649, 1,120,079.46 and 453,953

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Solution

The fourth proportional to 811,649, 1,120,079.46 and 453,953 is: 626,457.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,649 : 1,120,079.46 = 453,953 : x
  2. Step 2: Convert to fraction form
    811,649/1,120,079.46 = 453,953/x
  3. Step 3: Cross multiply
    811,649x = 1,120,079.46 × 453,953
  4. Step 4: Simplify right side
    811,649x = 508,463,431,105.38
  5. Step 5: Solve for x
    x = 508,463,431,105.38/811,649
  6. Step 6: Final answer
    x = 626,457.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.