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Finding the Fourth Proportional to 384,628.65, 576,942.98 and 278,340.45

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Solution

The fourth proportional to 384,628.65, 576,942.98 and 278,340.45 is: 417,510.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,628.65 : 576,942.98 = 278,340.45 : x
  2. Step 2: Convert to fraction form
    384,628.65/576,942.98 = 278,340.45/x
  3. Step 3: Cross multiply
    384,628.65x = 576,942.98 × 278,340.45
  4. Step 4: Simplify right side
    384,628.65x = 160,586,567,285.84
  5. Step 5: Solve for x
    x = 160,586,567,285.84/384,628.65
  6. Step 6: Final answer
    x = 417,510.68

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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.