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Finding the Fourth Proportional to 461,643.34, 637,078.58 and 289,568.61

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Solution

The fourth proportional to 461,643.34, 637,078.58 and 289,568.61 is: 399,611.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,643.34 : 637,078.58 = 289,568.61 : x
  2. Step 2: Convert to fraction form
    461,643.34/637,078.58 = 289,568.61/x
  3. Step 3: Cross multiply
    461,643.34x = 637,078.58 × 289,568.61
  4. Step 4: Simplify right side
    461,643.34x = 184,477,958,871.37
  5. Step 5: Solve for x
    x = 184,477,958,871.37/461,643.34
  6. Step 6: Final answer
    x = 399,611.44

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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.