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Finding the Fourth Proportional to 655,412.32, 904,537.04 and 400,932.80

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Solution

The fourth proportional to 655,412.32, 904,537.04 and 400,932.80 is: 553,328.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,412.32 : 904,537.04 = 400,932.80 : x
  2. Step 2: Convert to fraction form
    655,412.32/904,537.04 = 400,932.80/x
  3. Step 3: Cross multiply
    655,412.32x = 904,537.04 × 400,932.80
  4. Step 4: Simplify right side
    655,412.32x = 362,658,568,150.91
  5. Step 5: Solve for x
    x = 362,658,568,150.91/655,412.32
  6. Step 6: Final answer
    x = 553,328.88

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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.