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Finding the Fourth Proportional to 407,226.60, 612,152.10 and 289,711.80

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Solution

The fourth proportional to 407,226.60, 612,152.10 and 289,711.80 is: 435,501.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,226.60 : 612,152.10 = 289,711.80 : x
  2. Step 2: Convert to fraction form
    407,226.60/612,152.10 = 289,711.80/x
  3. Step 3: Cross multiply
    407,226.60x = 612,152.10 × 289,711.80
  4. Step 4: Simplify right side
    407,226.60x = 177,347,686,764.78
  5. Step 5: Solve for x
    x = 177,347,686,764.78/407,226.60
  6. Step 6: Final answer
    x = 435,501.23

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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.