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Finding the Fourth Proportional to 384,137.20, 576,205.80 and 344,868.40

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Solution

The fourth proportional to 384,137.20, 576,205.80 and 344,868.40 is: 517,302.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,137.20 : 576,205.80 = 344,868.40 : x
  2. Step 2: Convert to fraction form
    384,137.20/576,205.80 = 344,868.40/x
  3. Step 3: Cross multiply
    384,137.20x = 576,205.80 × 344,868.40
  4. Step 4: Simplify right side
    384,137.20x = 198,715,172,316.72
  5. Step 5: Solve for x
    x = 198,715,172,316.72/384,137.20
  6. Step 6: Final answer
    x = 517,302.60

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1.5x scale

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.