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Finding the Fourth Proportional to 477,475.40, 658,695.16 and 286,156.64

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Solution

The fourth proportional to 477,475.40, 658,695.16 and 286,156.64 is: 394,763.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,475.40 : 658,695.16 = 286,156.64 : x
  2. Step 2: Convert to fraction form
    477,475.40/658,695.16 = 286,156.64/x
  3. Step 3: Cross multiply
    477,475.40x = 658,695.16 × 286,156.64
  4. Step 4: Simplify right side
    477,475.40x = 188,489,993,769.86
  5. Step 5: Solve for x
    x = 188,489,993,769.86/477,475.40
  6. Step 6: Final answer
    x = 394,763.78

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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.