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Finding the Fourth Proportional to 407,722.40, 611,194.80 and 317,715.20

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Solution

The fourth proportional to 407,722.40, 611,194.80 and 317,715.20 is: 476,269.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,722.40 : 611,194.80 = 317,715.20 : x
  2. Step 2: Convert to fraction form
    407,722.40/611,194.80 = 317,715.20/x
  3. Step 3: Cross multiply
    407,722.40x = 611,194.80 × 317,715.20
  4. Step 4: Simplify right side
    407,722.40x = 194,185,878,120.96
  5. Step 5: Solve for x
    x = 194,185,878,120.96/407,722.40
  6. Step 6: Final answer
    x = 476,269.83

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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.