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Finding the Fourth Proportional to 407,632.40, 612,104.70 and 307,905.20

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Solution

The fourth proportional to 407,632.40, 612,104.70 and 307,905.20 is: 462,353.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,632.40 : 612,104.70 = 307,905.20 : x
  2. Step 2: Convert to fraction form
    407,632.40/612,104.70 = 307,905.20/x
  3. Step 3: Cross multiply
    407,632.40x = 612,104.70 × 307,905.20
  4. Step 4: Simplify right side
    407,632.40x = 188,470,220,074.44
  5. Step 5: Solve for x
    x = 188,470,220,074.44/407,632.40
  6. Step 6: Final answer
    x = 462,353.39

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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.