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Finding the Fourth Proportional to 304,602.50, 420,293.10 and 197,157.62

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Solution

The fourth proportional to 304,602.50, 420,293.10 and 197,157.62 is: 272,039.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,602.50 : 420,293.10 = 197,157.62 : x
  2. Step 2: Convert to fraction form
    304,602.50/420,293.10 = 197,157.62/x
  3. Step 3: Cross multiply
    304,602.50x = 420,293.10 × 197,157.62
  4. Step 4: Simplify right side
    304,602.50x = 82,863,987,298.42
  5. Step 5: Solve for x
    x = 82,863,987,298.42/304,602.50
  6. Step 6: Final answer
    x = 272,039.75

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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.