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Finding the Fourth Proportional to 384,881.44, 574,503.76 and 339,431.20

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Solution

The fourth proportional to 384,881.44, 574,503.76 and 339,431.20 is: 506,661.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,881.44 : 574,503.76 = 339,431.20 : x
  2. Step 2: Convert to fraction form
    384,881.44/574,503.76 = 339,431.20/x
  3. Step 3: Cross multiply
    384,881.44x = 574,503.76 × 339,431.20
  4. Step 4: Simplify right side
    384,881.44x = 195,004,498,964.16
  5. Step 5: Solve for x
    x = 195,004,498,964.16/384,881.44
  6. Step 6: Final answer
    x = 506,661.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.