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Finding the Fourth Proportional to 650,431.77, 975,647.66 and 428,763.93

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Solution

The fourth proportional to 650,431.77, 975,647.66 and 428,763.93 is: 643,145.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,431.77 : 975,647.66 = 428,763.93 : x
  2. Step 2: Convert to fraction form
    650,431.77/975,647.66 = 428,763.93/x
  3. Step 3: Cross multiply
    650,431.77x = 975,647.66 × 428,763.93
  4. Step 4: Simplify right side
    650,431.77x = 418,322,522,853.08
  5. Step 5: Solve for x
    x = 418,322,522,853.08/650,431.77
  6. Step 6: Final answer
    x = 643,145.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.