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Finding the Fourth Proportional to 477,428, 658,867.20 and 262,584.32

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Solution

The fourth proportional to 477,428, 658,867.20 and 262,584.32 is: 362,375.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,428 : 658,867.20 = 262,584.32 : x
  2. Step 2: Convert to fraction form
    477,428/658,867.20 = 262,584.32/x
  3. Step 3: Cross multiply
    477,428x = 658,867.20 × 262,584.32
  4. Step 4: Simplify right side
    477,428x = 173,008,195,682.30
  5. Step 5: Solve for x
    x = 173,008,195,682.30/477,428
  6. Step 6: Final answer
    x = 362,375.47

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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.