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Finding the Fourth Proportional to 304,645.50, 420,352.47 and 197,200.62

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Solution

The fourth proportional to 304,645.50, 420,352.47 and 197,200.62 is: 272,099.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,645.50 : 420,352.47 = 197,200.62 : x
  2. Step 2: Convert to fraction form
    304,645.50/420,352.47 = 197,200.62/x
  3. Step 3: Cross multiply
    304,645.50x = 420,352.47 × 197,200.62
  4. Step 4: Simplify right side
    304,645.50x = 82,893,767,702.53
  5. Step 5: Solve for x
    x = 82,893,767,702.53/304,645.50
  6. Step 6: Final answer
    x = 272,099.10

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1.5x scale

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.