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Finding the Fourth Proportional to 772,893.72, 1,066,655.25 and 428,763.60

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Solution

The fourth proportional to 772,893.72, 1,066,655.25 and 428,763.60 is: 591,728.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,893.72 : 1,066,655.25 = 428,763.60 : x
  2. Step 2: Convert to fraction form
    772,893.72/1,066,655.25 = 428,763.60/x
  3. Step 3: Cross multiply
    772,893.72x = 1,066,655.25 × 428,763.60
  4. Step 4: Simplify right side
    772,893.72x = 457,342,944,948.90
  5. Step 5: Solve for x
    x = 457,342,944,948.90/772,893.72
  6. Step 6: Final answer
    x = 591,728.12

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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.