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Finding the Fourth Proportional to 415,912.16, 624,218.16 and 389,668.16

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Solution

The fourth proportional to 415,912.16, 624,218.16 and 389,668.16 is: 584,830.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,912.16 : 624,218.16 = 389,668.16 : x
  2. Step 2: Convert to fraction form
    415,912.16/624,218.16 = 389,668.16/x
  3. Step 3: Cross multiply
    415,912.16x = 624,218.16 × 389,668.16
  4. Step 4: Simplify right side
    415,912.16x = 243,237,941,845.79
  5. Step 5: Solve for x
    x = 243,237,941,845.79/415,912.16
  6. Step 6: Final answer
    x = 584,830.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.