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Finding the Fourth Proportional to 768,109.86, 1,059,990.90 and 428,578.11

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Solution

The fourth proportional to 768,109.86, 1,059,990.90 and 428,578.11 is: 591,437.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,109.86 : 1,059,990.90 = 428,578.11 : x
  2. Step 2: Convert to fraction form
    768,109.86/1,059,990.90 = 428,578.11/x
  3. Step 3: Cross multiply
    768,109.86x = 1,059,990.90 × 428,578.11
  4. Step 4: Simplify right side
    768,109.86x = 454,288,896,539.20
  5. Step 5: Solve for x
    x = 454,288,896,539.20/768,109.86
  6. Step 6: Final answer
    x = 591,437.40

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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.