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Finding the Fourth Proportional to 586,106.24, 878,532.80 and 419,388.80

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Solution

The fourth proportional to 586,106.24, 878,532.80 and 419,388.80 is: 628,634.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,106.24 : 878,532.80 = 419,388.80 : x
  2. Step 2: Convert to fraction form
    586,106.24/878,532.80 = 419,388.80/x
  3. Step 3: Cross multiply
    586,106.24x = 878,532.80 × 419,388.80
  4. Step 4: Simplify right side
    586,106.24x = 368,446,816,752.64
  5. Step 5: Solve for x
    x = 368,446,816,752.64/586,106.24
  6. Step 6: Final answer
    x = 628,634.86

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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.