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Finding the Fourth Proportional to 772,209.56, 1,065,656.02 and 428,053

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Solution

The fourth proportional to 772,209.56, 1,065,656.02 and 428,053 is: 590,716.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,209.56 : 1,065,656.02 = 428,053 : x
  2. Step 2: Convert to fraction form
    772,209.56/1,065,656.02 = 428,053/x
  3. Step 3: Cross multiply
    772,209.56x = 1,065,656.02 × 428,053
  4. Step 4: Simplify right side
    772,209.56x = 456,157,256,329.06
  5. Step 5: Solve for x
    x = 456,157,256,329.06/772,209.56
  6. Step 6: Final answer
    x = 590,716.92

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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.