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Finding the Fourth Proportional to 768,101.15, 1,059,978.93 and 428,569.40

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Solution

The fourth proportional to 768,101.15, 1,059,978.93 and 428,569.40 is: 591,425.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,101.15 : 1,059,978.93 = 428,569.40 : x
  2. Step 2: Convert to fraction form
    768,101.15/1,059,978.93 = 428,569.40/x
  3. Step 3: Cross multiply
    768,101.15x = 1,059,978.93 × 428,569.40
  4. Step 4: Simplify right side
    768,101.15x = 454,274,538,017.66
  5. Step 5: Solve for x
    x = 454,274,538,017.66/768,101.15
  6. Step 6: Final answer
    x = 591,425.41

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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.