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Finding the Fourth Proportional to 605,758.42, 908,652.21 and 289,868.14

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Solution

The fourth proportional to 605,758.42, 908,652.21 and 289,868.14 is: 434,809.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,758.42 : 908,652.21 = 289,868.14 : x
  2. Step 2: Convert to fraction form
    605,758.42/908,652.21 = 289,868.14/x
  3. Step 3: Cross multiply
    605,758.42x = 908,652.21 × 289,868.14
  4. Step 4: Simplify right side
    605,758.42x = 263,389,326,019.59
  5. Step 5: Solve for x
    x = 263,389,326,019.59/605,758.42
  6. Step 6: Final answer
    x = 434,809.19

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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.