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Finding the Fourth Proportional to 347,139.48, 478,915.60 and 218,002

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Solution

The fourth proportional to 347,139.48, 478,915.60 and 218,002 is: 300,756.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,139.48 : 478,915.60 = 218,002 : x
  2. Step 2: Convert to fraction form
    347,139.48/478,915.60 = 218,002/x
  3. Step 3: Cross multiply
    347,139.48x = 478,915.60 × 218,002
  4. Step 4: Simplify right side
    347,139.48x = 104,404,558,631.20
  5. Step 5: Solve for x
    x = 104,404,558,631.20/347,139.48
  6. Step 6: Final answer
    x = 300,756.80

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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.