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Finding the Fourth Proportional to 390,335.82, 538,656.42 and 220,566.30

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Solution

The fourth proportional to 390,335.82, 538,656.42 and 220,566.30 is: 304,377.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,335.82 : 538,656.42 = 220,566.30 : x
  2. Step 2: Convert to fraction form
    390,335.82/538,656.42 = 220,566.30/x
  3. Step 3: Cross multiply
    390,335.82x = 538,656.42 × 220,566.30
  4. Step 4: Simplify right side
    390,335.82x = 118,809,453,530.65
  5. Step 5: Solve for x
    x = 118,809,453,530.65/390,335.82
  6. Step 6: Final answer
    x = 304,377.53

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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.