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Finding the Fourth Proportional to 388,582.71, 583,122.12 and 188,794.18

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Solution

The fourth proportional to 388,582.71, 583,122.12 and 188,794.18 is: 283,311.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,582.71 : 583,122.12 = 188,794.18 : x
  2. Step 2: Convert to fraction form
    388,582.71/583,122.12 = 188,794.18/x
  3. Step 3: Cross multiply
    388,582.71x = 583,122.12 × 188,794.18
  4. Step 4: Simplify right side
    388,582.71x = 110,090,062,485.26
  5. Step 5: Solve for x
    x = 110,090,062,485.26/388,582.71
  6. Step 6: Final answer
    x = 283,311.79

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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.