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Finding the Fourth Proportional to 522,933.80, 784,310.42 and 138,685.32

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Solution

The fourth proportional to 522,933.80, 784,310.42 and 138,685.32 is: 208,004.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,933.80 : 784,310.42 = 138,685.32 : x
  2. Step 2: Convert to fraction form
    522,933.80/784,310.42 = 138,685.32/x
  3. Step 3: Cross multiply
    522,933.80x = 784,310.42 × 138,685.32
  4. Step 4: Simplify right side
    522,933.80x = 108,772,341,577.03
  5. Step 5: Solve for x
    x = 108,772,341,577.03/522,933.80
  6. Step 6: Final answer
    x = 208,004.04

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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.