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Finding the Fourth Proportional to 378,904.56, 522,855.18 and 242,698.20

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Solution

The fourth proportional to 378,904.56, 522,855.18 and 242,698.20 is: 334,902.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,904.56 : 522,855.18 = 242,698.20 : x
  2. Step 2: Convert to fraction form
    378,904.56/522,855.18 = 242,698.20/x
  3. Step 3: Cross multiply
    378,904.56x = 522,855.18 × 242,698.20
  4. Step 4: Simplify right side
    378,904.56x = 126,896,011,046.68
  5. Step 5: Solve for x
    x = 126,896,011,046.68/378,904.56
  6. Step 6: Final answer
    x = 334,902.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.