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Finding the Fourth Proportional to 384,277.20, 576,415.80 and 337,621.20

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Solution

The fourth proportional to 384,277.20, 576,415.80 and 337,621.20 is: 506,431.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,277.20 : 576,415.80 = 337,621.20 : x
  2. Step 2: Convert to fraction form
    384,277.20/576,415.80 = 337,621.20/x
  3. Step 3: Cross multiply
    384,277.20x = 576,415.80 × 337,621.20
  4. Step 4: Simplify right side
    384,277.20x = 194,610,194,094.96
  5. Step 5: Solve for x
    x = 194,610,194,094.96/384,277.20
  6. Step 6: Final answer
    x = 506,431.80

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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.