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Finding the Fourth Proportional to 477,464.40, 658,679.99 and 286,145.64

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Solution

The fourth proportional to 477,464.40, 658,679.99 and 286,145.64 is: 394,748.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,464.40 : 658,679.99 = 286,145.64 : x
  2. Step 2: Convert to fraction form
    477,464.40/658,679.99 = 286,145.64/x
  3. Step 3: Cross multiply
    477,464.40x = 658,679.99 × 286,145.64
  4. Step 4: Simplify right side
    477,464.40x = 188,478,405,863.02
  5. Step 5: Solve for x
    x = 188,478,405,863.02/477,464.40
  6. Step 6: Final answer
    x = 394,748.61

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1.5x scale

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.