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Finding the Fourth Proportional to 613,842.68, 920,761.98 and 276,488.44

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Solution

The fourth proportional to 613,842.68, 920,761.98 and 276,488.44 is: 414,731.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,842.68 : 920,761.98 = 276,488.44 : x
  2. Step 2: Convert to fraction form
    613,842.68/920,761.98 = 276,488.44/x
  3. Step 3: Cross multiply
    613,842.68x = 920,761.98 × 276,488.44
  4. Step 4: Simplify right side
    613,842.68x = 254,580,043,461.51
  5. Step 5: Solve for x
    x = 254,580,043,461.51/613,842.68
  6. Step 6: Final answer
    x = 414,731.74

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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.