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Finding the Fourth Proportional to 431,561.08, 648,412.38 and 279,854.68

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Solution

The fourth proportional to 431,561.08, 648,412.38 and 279,854.68 is: 420,476.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,561.08 : 648,412.38 = 279,854.68 : x
  2. Step 2: Convert to fraction form
    431,561.08/648,412.38 = 279,854.68/x
  3. Step 3: Cross multiply
    431,561.08x = 648,412.38 × 279,854.68
  4. Step 4: Simplify right side
    431,561.08x = 181,461,239,112.94
  5. Step 5: Solve for x
    x = 181,461,239,112.94/431,561.08
  6. Step 6: Final answer
    x = 420,476.38

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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.