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Finding the Fourth Proportional to 617,041.71, 925,678.43 and 280,106.01

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Solution

The fourth proportional to 617,041.71, 925,678.43 and 280,106.01 is: 420,211.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,041.71 : 925,678.43 = 280,106.01 : x
  2. Step 2: Convert to fraction form
    617,041.71/925,678.43 = 280,106.01/x
  3. Step 3: Cross multiply
    617,041.71x = 925,678.43 × 280,106.01
  4. Step 4: Simplify right side
    617,041.71x = 259,288,090,169.83
  5. Step 5: Solve for x
    x = 259,288,090,169.83/617,041.71
  6. Step 6: Final answer
    x = 420,211.61

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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.