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Finding the Fourth Proportional to 768,419.04, 1,060,375.14 and 428,909.16

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Solution

The fourth proportional to 768,419.04, 1,060,375.14 and 428,909.16 is: 591,870.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,419.04 : 1,060,375.14 = 428,909.16 : x
  2. Step 2: Convert to fraction form
    768,419.04/1,060,375.14 = 428,909.16/x
  3. Step 3: Cross multiply
    768,419.04x = 1,060,375.14 × 428,909.16
  4. Step 4: Simplify right side
    768,419.04x = 454,804,610,582.28
  5. Step 5: Solve for x
    x = 454,804,610,582.28/768,419.04
  6. Step 6: Final answer
    x = 591,870.56

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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.