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Finding the Fourth Proportional to 477,344, 658,753.76 and 286,287.68

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Solution

The fourth proportional to 477,344, 658,753.76 and 286,287.68 is: 395,088.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,344 : 658,753.76 = 286,287.68 : x
  2. Step 2: Convert to fraction form
    477,344/658,753.76 = 286,287.68/x
  3. Step 3: Cross multiply
    477,344x = 658,753.76 × 286,287.68
  4. Step 4: Simplify right side
    477,344x = 188,593,085,641.68
  5. Step 5: Solve for x
    x = 188,593,085,641.68/477,344
  6. Step 6: Final answer
    x = 395,088.42

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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.