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Finding the Fourth Proportional to 477,118.56, 658,458 and 286,128.48

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Solution

The fourth proportional to 477,118.56, 658,458 and 286,128.48 is: 394,877.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,118.56 : 658,458 = 286,128.48 : x
  2. Step 2: Convert to fraction form
    477,118.56/658,458 = 286,128.48/x
  3. Step 3: Cross multiply
    477,118.56x = 658,458 × 286,128.48
  4. Step 4: Simplify right side
    477,118.56x = 188,403,586,683.84
  5. Step 5: Solve for x
    x = 188,403,586,683.84/477,118.56
  6. Step 6: Final answer
    x = 394,877.92

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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.