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Finding the Fourth Proportional to 390,563.51, 538,952.18 and 218,451.65

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Solution

The fourth proportional to 390,563.51, 538,952.18 and 218,451.65 is: 301,449.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,563.51 : 538,952.18 = 218,451.65 : x
  2. Step 2: Convert to fraction form
    390,563.51/538,952.18 = 218,451.65/x
  3. Step 3: Cross multiply
    390,563.51x = 538,952.18 × 218,451.65
  4. Step 4: Simplify right side
    390,563.51x = 117,734,989,205.08
  5. Step 5: Solve for x
    x = 117,734,989,205.08/390,563.51
  6. Step 6: Final answer
    x = 301,449.03

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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.