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Finding the Fourth Proportional to 475,128.66, 712,824.21 and 422,903.10

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Solution

The fourth proportional to 475,128.66, 712,824.21 and 422,903.10 is: 634,471.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,128.66 : 712,824.21 = 422,903.10 : x
  2. Step 2: Convert to fraction form
    475,128.66/712,824.21 = 422,903.10/x
  3. Step 3: Cross multiply
    475,128.66x = 712,824.21 × 422,903.10
  4. Step 4: Simplify right side
    475,128.66x = 301,455,568,164.05
  5. Step 5: Solve for x
    x = 301,455,568,164.05/475,128.66
  6. Step 6: Final answer
    x = 634,471.45

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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.