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Finding the Fourth Proportional to 407,183.40, 610,973.82 and 288,006.08

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Solution

The fourth proportional to 407,183.40, 610,973.82 and 288,006.08 is: 432,149.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,183.40 : 610,973.82 = 288,006.08 : x
  2. Step 2: Convert to fraction form
    407,183.40/610,973.82 = 288,006.08/x
  3. Step 3: Cross multiply
    407,183.40x = 610,973.82 × 288,006.08
  4. Step 4: Simplify right side
    407,183.40x = 175,964,171,825.96
  5. Step 5: Solve for x
    x = 175,964,171,825.96/407,183.40
  6. Step 6: Final answer
    x = 432,149.67

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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.