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Finding the Fourth Proportional to 378,066.61, 521,924.74 and 256,202.80

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Solution

The fourth proportional to 378,066.61, 521,924.74 and 256,202.80 is: 353,690.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,066.61 : 521,924.74 = 256,202.80 : x
  2. Step 2: Convert to fraction form
    378,066.61/521,924.74 = 256,202.80/x
  3. Step 3: Cross multiply
    378,066.61x = 521,924.74 × 256,202.80
  4. Step 4: Simplify right side
    378,066.61x = 133,718,577,167.65
  5. Step 5: Solve for x
    x = 133,718,577,167.65/378,066.61
  6. Step 6: Final answer
    x = 353,690.53

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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.