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Finding the Fourth Proportional to 772,208.56, 1,065,654.64 and 428,052

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Solution

The fourth proportional to 772,208.56, 1,065,654.64 and 428,052 is: 590,715.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,208.56 : 1,065,654.64 = 428,052 : x
  2. Step 2: Convert to fraction form
    772,208.56/1,065,654.64 = 428,052/x
  3. Step 3: Cross multiply
    772,208.56x = 1,065,654.64 × 428,052
  4. Step 4: Simplify right side
    772,208.56x = 456,155,599,961.28
  5. Step 5: Solve for x
    x = 456,155,599,961.28/772,208.56
  6. Step 6: Final answer
    x = 590,715.54

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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.