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Finding the Fourth Proportional to 656,468.16, 905,926 and 354,662.16

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Solution

The fourth proportional to 656,468.16, 905,926 and 354,662.16 is: 489,433.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,468.16 : 905,926 = 354,662.16 : x
  2. Step 2: Convert to fraction form
    656,468.16/905,926 = 354,662.16/x
  3. Step 3: Cross multiply
    656,468.16x = 905,926 × 354,662.16
  4. Step 4: Simplify right side
    656,468.16x = 321,297,671,960.16
  5. Step 5: Solve for x
    x = 321,297,671,960.16/656,468.16
  6. Step 6: Final answer
    x = 489,433.75

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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.