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Finding the Fourth Proportional to 410,805.20, 614,998.20 and 306,088.40

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Solution

The fourth proportional to 410,805.20, 614,998.20 and 306,088.40 is: 458,231.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,805.20 : 614,998.20 = 306,088.40 : x
  2. Step 2: Convert to fraction form
    410,805.20/614,998.20 = 306,088.40/x
  3. Step 3: Cross multiply
    410,805.20x = 614,998.20 × 306,088.40
  4. Step 4: Simplify right side
    410,805.20x = 188,243,815,040.88
  5. Step 5: Solve for x
    x = 188,243,815,040.88/410,805.20
  6. Step 6: Final answer
    x = 458,231.33

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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.