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Finding the Fourth Proportional to 416,859.82, 575,464.89 and 279,275.65

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Solution

The fourth proportional to 416,859.82, 575,464.89 and 279,275.65 is: 385,533.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,859.82 : 575,464.89 = 279,275.65 : x
  2. Step 2: Convert to fraction form
    416,859.82/575,464.89 = 279,275.65/x
  3. Step 3: Cross multiply
    416,859.82x = 575,464.89 × 279,275.65
  4. Step 4: Simplify right side
    416,859.82x = 160,713,331,206.93
  5. Step 5: Solve for x
    x = 160,713,331,206.93/416,859.82
  6. Step 6: Final answer
    x = 385,533.27

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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.