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Finding the Fourth Proportional to 655,653.42, 904,832.10 and 397,538.28

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Solution

The fourth proportional to 655,653.42, 904,832.10 and 397,538.28 is: 548,621.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,653.42 : 904,832.10 = 397,538.28 : x
  2. Step 2: Convert to fraction form
    655,653.42/904,832.10 = 397,538.28/x
  3. Step 3: Cross multiply
    655,653.42x = 904,832.10 × 397,538.28
  4. Step 4: Simplify right side
    655,653.42x = 359,705,396,722.79
  5. Step 5: Solve for x
    x = 359,705,396,722.79/655,653.42
  6. Step 6: Final answer
    x = 548,621.25

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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.