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Finding the Fourth Proportional to 656,329.92, 905,735.16 and 354,523.92

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Solution

The fourth proportional to 656,329.92, 905,735.16 and 354,523.92 is: 489,242.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,329.92 : 905,735.16 = 354,523.92 : x
  2. Step 2: Convert to fraction form
    656,329.92/905,735.16 = 354,523.92/x
  3. Step 3: Cross multiply
    656,329.92x = 905,735.16 × 354,523.92
  4. Step 4: Simplify right side
    656,329.92x = 321,104,779,405.03
  5. Step 5: Solve for x
    x = 321,104,779,405.03/656,329.92
  6. Step 6: Final answer
    x = 489,242.94

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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.