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Finding the Fourth Proportional to 655,298.08, 982,116.96 and 318,415.84

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Solution

The fourth proportional to 655,298.08, 982,116.96 and 318,415.84 is: 477,220.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,298.08 : 982,116.96 = 318,415.84 : x
  2. Step 2: Convert to fraction form
    655,298.08/982,116.96 = 318,415.84/x
  3. Step 3: Cross multiply
    655,298.08x = 982,116.96 × 318,415.84
  4. Step 4: Simplify right side
    655,298.08x = 312,721,596,796.65
  5. Step 5: Solve for x
    x = 312,721,596,796.65/655,298.08
  6. Step 6: Final answer
    x = 477,220.38

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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.