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Finding the Fourth Proportional to 477,476.40, 658,696.53 and 286,157.64

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Solution

The fourth proportional to 477,476.40, 658,696.53 and 286,157.64 is: 394,765.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,476.40 : 658,696.53 = 286,157.64 : x
  2. Step 2: Convert to fraction form
    477,476.40/658,696.53 = 286,157.64/x
  3. Step 3: Cross multiply
    477,476.40x = 658,696.53 × 286,157.64
  4. Step 4: Simplify right side
    477,476.40x = 188,491,044,500.99
  5. Step 5: Solve for x
    x = 188,491,044,500.99/477,476.40
  6. Step 6: Final answer
    x = 394,765.15

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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.