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Finding the Fourth Proportional to 617,577.12, 925,409.16 and 428,405.40

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Solution

The fourth proportional to 617,577.12, 925,409.16 and 428,405.40 is: 641,944.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,577.12 : 925,409.16 = 428,405.40 : x
  2. Step 2: Convert to fraction form
    617,577.12/925,409.16 = 428,405.40/x
  3. Step 3: Cross multiply
    617,577.12x = 925,409.16 × 428,405.40
  4. Step 4: Simplify right side
    617,577.12x = 396,450,281,353.46
  5. Step 5: Solve for x
    x = 396,450,281,353.46/617,577.12
  6. Step 6: Final answer
    x = 641,944.57

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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.